Hi, Rochelle!
So here is what I can tell you: You will have a hair dryer in your room when you stay at
Disney's Port Orleans Resort (or any resort for that matter!) These are decent hair dryers that are usually found in a black bag (near the closet area or on a shelf under the sink), not the kind that are attached to the wall. I have very thick hair and have found the hair dryers to be adequate. As good as my super-sonic hair dryer at home? Probably not, but it beats taking up valuable space in my suitcase so I always used the hair dryers supplied in the room.
As far as the make and model, this can vary. As hair dryers break or need to be replaced, I am not sure they stick with the same make and or model. Let's just put the hair dryer on par with any $30 hair dryer you would purchase at your local store. Again, if you are looking a salon-quality dryer with diffusers and attachments, you might be best bringing yours from home. But, if a basic hair dryer that gets the job done is what you need, then you will be all set.
In addition to the hair dryer, your room will have an ironing board and iron, safe, coffee maker, and mini fridge. Everything you will need to make Port Orleans a very comfortable "home away from home" for a few days! Enjoy your stay!
Cathy