Size of tumor is really not a good indication of the chances of developing facial paralysis. I've personally met one person (CrazyCat) who had an extremely large, life-threatening AN but he doesn't have paralysis (I believe he does have some numbness, but nothing that's obvious to an observer). I know of others who had very small ANs removed (3-5mm) and now have facial paralysis. There's just no guarantees.
If I remember, you aren't able to travel to London with your mom for her surgery. When she goes and meets with the surgeon, make sure she (or others who are with her) stresses the importance of facial nerve preservation to her. When I talked to my surgeon, I stated (emphatically) that I would rather he leave a bit of tumor behind (which can then be radiated if needed) than compromise my facial nerve. Fortunately, my AN was positioned in a way that made it possible to remove the whole thing without any damage to the facial nerve. Of course, even if the nerve is monitored during surgery and survives intact, that can't guarantee a particular outcome (as many here will attest to).
Before my surgery, the hardest part for me was not knowing what the outcome would be (facial nerve, balance, vertigo, headaches, etc.). It's brutal not knowing. I'm glad your mother has such a caring, supportive family that will help her through this regardless of the outcome.
Katie