Take it as you are a good, respectful client and nothing more. She is running a business. It is her job to get you to enjoy yourself, as best she reasonably can, and for you to feel that you are welcome to contact her for another meet up.  
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Just don't view it as anything more than that. IOW, dont think of it that she is now into you, outside of the client/provider context, and you will be fine. Enjoy!

She obviously likes you as a client, otherwise no reason to initiate the email. But as a client. Don’t read more into it.

She is a smart businesswoman AND that she's a kind person. Multiple things are often true at the same time so believe both what you FELT in session and what you KNOW out of session. We KNOW we can't fly, shoot lasers from our eyes or breathe underwater after going to watch a superhero movie, but we still judge the quality of a movie by how we FELT DURING it. The exhilaration, the suspense, the wonder of discovery, the heartwarming moments... they're all real in our bodies, in those moments. There's no denying the racing heartbeat or teary eye. And what's real afterward is what we KNOW - that we're not X-Men but damn, that was a super fun fantasy and I wanna feel that again! It's called the suspension of disbelief.  
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That's one of the things I love about this slice of life. Within the boundaries of our dates (and for those of us who maintain a level of connection between dates), those feelings are definitely real. The boundaries of P4P keep those feelings safely in their proper place and the rest of the 'real world' separate, and safely in it's proper place.  
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Part of that 'real world' thing is knowing that a savvy businesswoman will build rapport because she wants repeat business just like any other sales person. Some people will try to frame that as manipulation, scheming, lying or in some other negative light. Sure, it'd be naive to think that there aren't bad apples out there but let me ask you.... are you a shitty judge of character in general? Are you getting ripped off left and right and in need of a conservatorship? Or can you pretty much function like a rational adult in your daily life? Ok then. You can believe that she is a kind person. Trust yourself that IF she were a bad apple, you'd be grounded enough in what you KNOW (outside the session) that you'd catch yourself from doing anything stupid in real life while you let yourself enjoy the FEELING of her building rapport.
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Also, it's entirely possible she's just obtuse or overly shy and doesn't usually send 'thank you' notes to anyone but your example of proper manners, in doing so yourself, showed her the light so to speak (if she's a bit simple). Or perhaps if she's overly shy, she's mirroring your graces and learned that this is simply a matter of etiquette and will incorporate it as a matter of course. 🤷🏻‍♀️  
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Regardless, ENJOY! That's what you're here for! Just keep your feet on the ground while your head's enjoying the clouds.

A smart provider cultivates regulars. She recognized that you came out of your shell. She's not dangling a TGTBT carrot and you're still a paying customer.

I appreciate the comments.

I'm new, but not naive.  I'm not going all goolgie eyes over someone.  I just wanted a 2nd opinion, which you all provided.

She has mentioned you are 'One of the good ones' As a professional she let you know she appreciated the time together and welcomes the next.

Do not read into this,

'IF' by Chance you catch even the slightest type of feelings for her/him, whatever you do 'Dont' read any more reviews of her as it might, could rent space in your head.

See her often, tip her well, bring a gift here and there.  Have fun,

relax and enjoy the time.

She is a pro, the women who provide are very good at what they do, stay on the path you are on, Spend the $$$
on highly rated professionals and dont cheap out by looking for hood rat type workers. Stay true to yourself and trust your senses , dont rely on the small head to think for you.

Have fun

"I have seen someone recently multiple times"

"The last meeting went awesome"

If you enjoyed yourself chances her she did as well and wants you to keep booking her. Like in any other type of business, cultivating a steady revenue stream is good practice.  

I had a similar experience recently when a provider I had a great time with last summer emailed me to wish me a Happy New Year and inform me of our tour schedule.

It is a compliment, but it probably doesn't mean she thinks you are the one

It just means she enjoyed the time with you and she wants you to book her again.  That is a good thing.  

As one provider that I saw a lot told me.  She gets really happy when I contact her, but not enough to see me for free.  That is all you really want as a client.  You don't want her to see your booking request and think, "Ugghh, not this guy again.  Hope someone else contacts me"  

It is impossible to sleep with someone multiple times and not develop some sort of bond, but you have to remember she is building similar bonds with other clients.  

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She has good business retention skills.   It's not a promise of free time or a marriage proposal.  

Enjoy meeting a pro.

Sounds like you made her list. But always remember you are still a client. She wanted to validate that she appreciated that you felt safe with her to come out of your shell. Don't let yourself think it is anything else unless you start to hang out off the clock without $$ involved or if she starts refusing your $$.

I've often gotten "thank you" texts from ladies a short time after I leave the appointment. I take them for what they are - her appreciation of me being polite, respectful and clean as well as encouragement to come back and see her again. Nothing more.