Phil - imho - I think you've tried to do too much all at once for her and it's all new so she's reacted perfectly normally.
I wouldn't have bathed her after her antics in the snow, just wrapped her in a towel to let her dry slowly. Mud will brush of when it's dry
But you do need to get her used to having a bath. Do the towel, bath and hairdryer thing seperately though.
For example, get her used to the towel by wiping her each time she comes in. Wrap her in a towel when she's having a cuddle and give her lots of praise when she's not biting it etc. She'll soon then see a towel is nice
Bath, get her used to the bath being nice too, put her in with a tiny tiny bit of water and when she's not dirty, don't use shampoo, just clean water but practice shampooing moves :wink: Jane S sings very loudly and jollily when she's bathing -dogs, apparently it stuns the dogs so much - they stay stock still
Hair dryer is a toughie - some never like it - mine don't so I don't bother. The trick is to introduce it when you don't need to use it, the same with it all, so you can concentrate on making it a jolly time, rather than trying to get her clean etc, so that when you do need to do the full bath thing, she should be OK. Try having her in the room while you dry your hair and then run it over her. She may get used to it.
Put yourself in the paws of a tiny puppy - had a great time in all this soft fluffy white stuff, get plonked in this BIG white thing full of water, bubbles thrown all over, then a big fabric thing thats attacking me - then a big noisy thing blowing me away. It's a lot for her to take in one go.
Sorry if that's come across as a lecture - not meant to be
but hope it helps