It sounds weird. My T has hidden his Facebook, definitely wouldn't friend me on there I don't think, definitely wouldn't like/comment on my posts if he did (what if someone asks me who he is and I don't want them to know I have a therapist?). I don't think I've ever heard "I missed you." We hug, but I've never heard him say he needed one, and get the impression the hugs are for me, since I'm the sad one in therapy.

The main problem with your T that I see is she seems needier than you, but the relationship should be the reverse of that. I'd be worried if my T seemed desperate like that. Go with your gut on whether to get a new one. If you can gather the courage, and if you care to do so, you might want to bring it up with her first at the minimum so she could maybe learn and improve for the next person. But, go with your gut on that too. Always trust your gut.