No, they don't which is one nice thing. They are really sweet, and a lot of fun. Buy her a nice safe wood house to play in, and she will also chew on it to keep her teeth down. I just bought the boys a new one - they got it today, and they already are chomping.
I keep their cage loaded with hay - no shavings, and cardboard boxes - like tissue boxes, just remove the plastic. They get pieces of cotton fabric which they use in their beds. No towels - the lint is bad for them just like the pds.
Actually my 3 prairie dogs were spayed/neutered before they were supposed to go into rut - and they never have. They are awesome all year long.
Hope that helps
Dallas, Houston & Peanut the Prairie Dogs
Gypsy & Amber the Satos
Apache, Amigo, Max, and Morgan the Kitties
Scooter, Annie, Buttercup & Squeaky the Guinea Pigs
Mocha & Latte the Rat A Tats