Will the temperature in the room change if the refrigerator is kept in it for a long time?

Much in this situation will depend on the size of the room.
But in general, we can say that it is unlikely that the temperature in the room will change from the fact that the refrigerator will work in it.
Since the mechanism of the refrigerator cools the compartment inside, and on the back cover the heat is released into the room, it will simultaneously heat and cool the room.
In addition, the room she most likely has is not designed for a refrigerator.
Most likely, you just have to change the refrigerator after this.