There are a zillion reasons to see her again.  Here are a few...

1) You have a good time with her.  Not seeing her again is like not eating your favorite food just because it's your favorite food.

2) Maybe you will fall in love and end up feeling like a moron.  Like you said, it's common.  But so what?  Aren't you curious to find out whether it will happen to you?  Not seeing her again would be like not drinking because you think you might get drunk.  Certainly there are reasons to not get drunk sometimes, but the whole point of drinking is to at least get a little bit drunk.

3) If you don't ever see her again, you will always wonder what it would have been like had you seen her again.  Forever.  It will be a little hole in you and a cold wind will blow through it again and again and the low whistle will drive you crazy.  And when you die, your ghost will have nothing to hold it together.

4) You're going to see her again anyway.  So you might as well stop lying to us and yourself.

5) If you don't see her again, she will grow into a monument in your mind.  And that monument will sit there hogging space and blocking the sun.  You need to start now to chip away at it.  The best cure for infatuation is more time with her.  Soon enough, you will start to notice her flaws.  Maybe the sags and marks you didn't see before, the annoying way she fake smiles.  The thrill of meeting her for the first time will wear off, she'll become just another person not that special after all.  The curiosity will fade.  

6) She wants you to see her again.  If it was that great an experience for you, she probably liked it too.  It's nice to be an easy customer.  You can feel good about it, and it will make you feel good to be a customer that she looks forward to entertaining.

7) Maybe you can wangle a birthday special or something out of her some day.

8) You'll start to primp for her.  Your testosterone levels will go up.  You'll be bolder, smarter, more handsome.  It will drip over into other aspects of your life.  You will start to become the guy she makes you think you are during the sessions.

9) Real men take what they want.  If you want her.  Buy her.  Fuck what any one else says.

10) You can be yourself more and more with her.  And she will validate that person more and more the same way she made you feel good the first time.  The shriveled soul that you were will finally swell to fill the space of the person you are really capable of being.  You will finally be happy to be yourself.  Which is wonderful.  Because there is only one you.

11) There is such a thing as destiny.  But it is not the broad bright plain of some future that you may never reach.  It is the tiny bump and jostle of every day events settling into the shape of the container that holds our lives.

12) There is no greater thing than love, even if it is pretend love, fake love, a lie.  Don't look behind the facade.  We all die too soon.

13) Your repeat visits validate her performance.  She will know what she does is working.  She will do more of it, for you and others.  She will be successful, other girls will see that success, and emulate her.  Then they will be successful, and other guys will become the sort of man you have become.  Your simple act of repeated dedication will change the world.

Should I go on?  Others can add...

And, only you know the depths of your vulnerabilities, but it's too bad that you'd have to let someone go, whom you enjoy so much.

then something you haven't done.

Here's a song that even say so.

I agree completely with BashfulJohn. In fact, I'm seeing a lady right now who I feel very deeply for. If it turns out to be a mistake, so be it but it will have been great while it lasted. Life's too short--I say go for it.

move around a lot of prior appointments to see my few clients. The only things that will make me break an appointment with any of them is when I've come down with a cold. (Don't want them to take it home with them.) Other than that, I see them whenever they want to see me!

Yes, it's probably stupid.  And, honestly, you probably only came here to seek validation for what you're gonna do anyway.  But we all do stupid things, think with our little head, etc.  Just be as careful as you can and don't have any illusions.  Then, when you get burned, you at least won't blame yourself too much.  And you might have some fun along the way.