Poor mommy, poor baby! Yes, I think she's really scared right now. It's a common occurrence somewhere between ages one and two – bathtime suddenly becomes a horror, for no apparent reason. And it can pass just as quickly.
If you have a big enough kitchen sink, you might sponge-bathe her there, and gradually try to introduce just an inch or two of water. She may feel safer in a more contained environment. You could also let her use your faucet sprayer (with your help and guidance) to rinse her toys, or fill small containers with water, and eventually spray her feet, and then other body parts. More control might give her a greater sense of safety and fun.
Also, it really doesn't help if a child's fear is discounted, so be careful not to tell her there's nothing to be afraid of. Much better: "Oh, you feel scared, sweetie! That's okay, we don't have to use the big tub/shower. Let's find other ways to get you clean!" Fortunately, at this age, memories don't usually last more than a few weeks, so you'll probably be able to work up to baths again as if nothing has happened.