The Acoustic Neuroma Association recommends seeking multiple opinions.
I would strongly suggest that you need to follow this recommendation before making a decision.
Your tumor is extremely small. Smaller than many tumours left behind after AN surgery to preserve the facial and hearing nerve.
This is major surgery... It is brain surgery, the downside risk is significant.
I had a friend who died after AN surgery aged 34. Removing a 2cm tumour due to an allergic reaction to the Anaesthetic, I have someone in my AN group who suffers eye, facial and taste issues, for the removal of a tumour 10mm. The surgeon worked at House, and operates on 50 ANs per year, so very experienced surgeon. Many surgeries work out just fine, but rolling the dice for a tumour that small... Is it worth the risk.
I was going to ad the line " I am not trying to scare you but".
Then I thought about it.... Yes I am trying to scare you into making a fully informed decision. If the surgery does go wrong you could regret the decision for life, especially if you have not spoken to to experts on radiation, or the pros and cons of Watch and Wait.