This is way too much sharing and exchanging of information, along with digestive activities. If your are nervous about starting therapy, I would pass this one up and go for someone with more experience. Honestly, a therapist should only be asking your name, contact information and availability to schedule, while you ask questions about their fees, availability, and approach to therapy to rule out if it's something you can stomach (ex: CBT). That's really all that's appropriate for an introductory phone call.

The eating on the phone part would really not be okay with me.

And if you still want to see her, I would take her link down right now, as I'm sure she wouldn't appreciate having this out there along with her history (but you could always say you were being direct).

Good luck and congratulations on putting yourself out there.