Have you tried showering with her instead? We do a quick shower in and out and she does better than the bath
My daughter absolutely hated baths at that age too. You could try a towel with a different texture since she cried when she touched yours. The only thing that really helped our daughter was doing a bath each night. Most of the time we did just a quick dunk in our kitchen sink. Maybe 5 minutes to just rinse off with one of us holding her and the other rinsing with a small cup. With time she started to hate it less. Sorry I can’t give more advice!
I second what Beckie has recommended, maybe try sitting in the bath with her? And also I know you said you warm up her towel. Maybe try also putting a warm wet flannel/muslin or her belly and keeping it on whilst you wash for added comfort. With my son, we give him a top and tail wipe down with a bowl of warm water and his flannel each morning so you may find that does help like you mentioned :)
Get a portable shower head for the bath and just rinse them down for now. It’s a phase, they’ll grow out of it, but I work with them not against them (as in I don’t pull my hair out trying to force them to do something they currently hate) by using another method for the time being. They are relatively cheap. We bathed our 5m old in the laundry tub though 😂 well, hubby did. He didn’t like bending over the big bath so we used laundry sink from Day 1
My son hates baths ! He screams during it but once it’s over he stops idk why he hates them too