You said she suggested spacing out sessions. That sounds like it was an opening to a conversation and discussion about what you thought about the idea. What was her reasoning for spacing them out? Did you actually voice your concerns about spacing your sessions out? You seem to be taking her suggestion as a rejection. Is it possible she has a reason for making that suggestion that she thinks might be to your benefit and this isn't really about rejection at all?

I think you kind of know that already? You seem to be in that transference mode of seeing your T's actions just like that of your mother's (even though they probably aren't) and you are doing the "I'll reject you before I give you the chance to reject me" dance. I've seen that one a few times from my husband. Try to slow yourself down a bit, remember this is your T you are dealing with, not your mother, and make your decisions based on that reality instead of that default "instinct".