A really good mattress protector would be my top tip just in case the mattresses are a bit nylony iyswim - TKMaxx always have them going cheap!
Send with your old bedding and buy yourself something new - it is nice if you are away from home to have something that reminds you of home, or buy her a new one and take an old one.
Same with towels, use her going to uni as a good excuse for updating what you have! Remember students will use towels to mop up spilled wine (oh yes!!!) hair dye blah blah blah
A pillow of your own!!!! - Let her choose her own!!
Extension leads
A sharpie pen to name everything!
Clothes dryer for the radiator
Your old pans, wooden spoons - one small one large (pans obviously!)
Ikea plates, cutlery and mugs and glasses
tea towels - 1-2
Coathangers definitely - unless built in they always get nicked
Bottle opener and can opener
A really good sharp knife of midsize for chopping
Whisk and mixing bowl that can double as salad bowl, serving bowl etc
Essentials:
Bulk washing powder - and perhaps a container to put it in so it doesn't spill everywhere!
Tea
Coffee
Sugar
Ribena or juice of somesort
Pasta sauces
Pasta
colander for the pasta!
Hangover kit for freshers week, rehydrating salts, berocca, condoms (sorry mum!) paracetamol, ibroprufen and some kind of deep heat and antiseptic spray
And depending on what kind of cook she is cookbook, cheap meals etc etc and or Delia.
Pretty much what has been said before