I'd rather get the pat-down from a guy to be honest, but I would probably have to pack my packy in the carry-on bag. But my GF and I have long-ago decided not to fly unless absolutely necessary. We both, without fail, get "randomly selected" for manual pat-down every time we fly. Every. Single. Time.

If there is any doubt as to your physical sex, TSA policy is to have a female pat you down. As an organization, TSA literally does not care to increase accessibility or show respect for any trans person or any person with a medical condition for that matter.
Speaking as someone who has flown with VERY large dildos, packies, bottles of lube (pre-3oz policy) etc in carry-ons, it hasn't been an issue. Once an agent put on gloves (policy) and felt inside the bag to determine what the gel-appearing thing attached to an electrical mechanism was. It was an enormous 18+ inch double-ended vibrating dildo. He didn't pull it out of the bag but we were all trying to keep a straight face.

That is probably the most "I look like an explosive" thing I've ever had packed.