The important thing is if it is a stage that you move thru it. Just like any stage in life it's not good to stay in the same place. Emulating your T isn't a bad thing, there's worse role models out there. Maybe doing the things she does helps you feel connected to her outside of sessions. It sounds like you're not really doing anything that you weren't interested in before, that you're just developing those interests with the added benefit that it make you feel connected to her.