Postgrad Female Needs Chester Room from Jan 29

I am a female postgrad international student at the University of Chester, planning to move in around January 29th. I am looking for accommodation within a budget of around £120 per week, but I am flexible. Bills included would be preferred. My accommodation preferences are as follows, in order of priority:

(1) A room in a 2-bedroom apartment (shared bathroom)
(2) An ensuite in a 3 or 4-bedroom apartment
(3) An ensuite in any other apartment with multiple bedrooms
(4) A room with a shared bathroom/kitchen

If sharing, I would prefer female tenants. And Thank you for your help!