Taichi:
When I was a child, I have no problem taking a bath. I was a baby then, I didn't cry at all. I wasn't scared at all. Now I take a shower.
Gee, I wonder why your daughter is scared of baths.
There are many reasons a 2 1/2 year old wouuldn't like a bath. Especially when it's a transition from a baby bath to an adult sizes one.
Size, depth, different texture of the bath. The taps, the plug-hole( will I go down that too?). My bath has a whirlpool on it, that frightens children because it's noisy.