I never use a hair dryer on my hair, either. Go ahead and get one, though. It's great to have for situations just like this.
Think how long it'll last, since you won't use it much. :thumbsup
Do your best to get her as dry as possible. Think about sitting around with wet hair... makes you feel cold, doesn't it?
Do you have a hot water bottle you could give her to snuggle with?
Wow, gone a month and found! That's incredible. So glad to hear this.
Give her a thorough cleaning. Soak in warm water, work the poop and mud off with your fingers if you have to. Sounds gross, is gross. Wear gloves.
If she is not used to being handled and you can't catch her, take her off...