Your home. Your rules.
I don't care what your other friends think. If you do not want to invite this girl into your home, you don't. If they have a problem with it, then you will find out who your real friends are.
This girl sounds like a real peach and I don't mean that in a good way.
Maybe everyone would like to cut the cord, but eveyrone is thinking the same as you. Don't want to rock the nest.
Someone has to be the first person to do so.