Frankly, I wouldn't- seems like a waste of my time/ money/energy. I go twice a week to a good (enough) T. He can deal with anything I bring up, I like him (for a T). Why go to another and repeat myself?

Can't you ask your T for another session? Cause I hear you saying you like her, need her but don't want to "bother" her with your issues- not a reason to find another T, I think.