Okay, your therapist's brain is definitely not firing on all cylinders! Jeesh, I can't believe after the couple of weeks you've had that she would even THINK (actually not thinking obviously) that you were in a space that you want to hear about her love life/relationship. She should have spent your last session just allowing you to vent or whatever you wanted or needed at that moment. Chalk it up to her being in love is fine, but you need to really talk to her about her poor timing at your next session.
I think it's fine to make plans to meet someone new. Just be careful. I'm glad you're meeting her in the presence of your friends. Have a good time and moving s l o w l y!