But I'm intrigued lol

I've found that sometimes giving too many options can leave her a little off-put, maybe even thinking you're just a time-waster...try starting with a definitive time...

Are you available at 4? No? What works for you?

That gives them the idea that you will definitely show up...

Just a thought...

You are asking a bit much.  Not because you want an appointment that you can be sure will work for you both........that is not only courteous.......but speaks volumes about your good intentions.

But because, inadvertently you are asking the provider to reveal more about herself than she may be comfortable sharing.  Sadly we humans..........and we hobbyists in particular........are unable to see ourselves as others do........so when what seems natural for us, is intrusive.........we do not realize we are intruding.

Depending upon yours and the provider's comfort zones..........it may be easier if you simply tell her when you are available..........and simply let her tell you if it will work for her or not.  This still gives her the ability to be available for you..........if she can..........and not have to give up an added level of control.

But........again.......this is just IMHO.

Simple formula my love...

Hey Ms.Provider,  

I am interested in scheduling an appointment for today. I'm free at these times do any of them work for you? If so let me know if not what time is your next available?  

Straight simple and to the point.  

As far as her not giving you her schedule, hey everyone is different. Some people don't mind others like to keep everything personal, especially with someone they have never met before.

but I have something more salacious in mind then their schedule