My daughter and I camped in a TT before I met my husband. We always camped on our own.
As far as using the TC alone, I would, however, DH would have to put it on the truck and I would have to keep it there. I am intimidated to try.
We did just get the correct dually extensions and that makes it 100% easier.
There's no reason a woman can't camp alone. Always be aware of your surroundings and be prepared as possible for any emergencies. That goes for everyone. It's common sense.
I forgot to ad--many women would say that they wished they were "brave" enough to do it. Go out and have fun! You're an inspiration.
I wasn't looking for a man when I met my DH, but he had a boat and I had the camper...we knew it was a perfect match.