There are different possibilities for housing in Wrexham.
First, it is possible to have a room on the campus of Glyndwr. For it, you must be registered at the Glyndwr University. You will be sent by mail a login and a password which allow you to log on the website for the online Accommodation Application System:
https://accommodation.glyndwr.ac.uk/eaccom/login/start.do
You can choose among five accommodation types. Each description is given in this table.
https://www.glyndwr.ac.uk/en/Ourstudentsupport/Accommodation/
The price is given per week, so to know the price per month you can calculate like this: Cost per week x week per year / months. The price is different between each accommodation type.
However it is also possible to find a room in town, alone or with a roommate. The best if you want to speak English is to have a roommate; it allows you to meet people from different backgrounds. So where seek this type of housing? You have different websites where you can find a room to share such as:
Spareroom is the best site because you can see the location of all the offers on the city map, depending on whether you want to be close to the university or college ... it also allows you to contact the renter without paying. You can also type "room to rent in wrexham" in a search site to find other offers. This site is not for Wales only but for many other destinations.
Source: https://www.glyndwr.ac.uk/en/Ourstudentsupport/Accommodation/