What would happen in the game between solid amateur VS top GM with the twist

What would be the likely outcome of the chess game between solid amateur and top GM if amateur is allowed to turn table once during the game? Of course, GM is aware of the twist.

If I was that amateur, it looks to me like it would be very unlikely for me to lose the game (let's say I don't make a blunder of overseeing mate in one). Draw looks like very likely outcome, so I guess the only question is, is there a simple enough strategy for amateur to actually win the game? Or looking from different angle, is there a way for GM to keep equilibrium on the board until it leads it to theoretical draw? 

It looks to me like it's irrelevant who's playing white, but I could be wrong.

Amateur sacs Queen for zilt and turns tables. Amateur wins.

Maybe we don't have same definition for amateur, but in my case I'm pretty sure I would lose against top GM with queen handicap

This raises another question. I'm not very well versed in chess rankings (points), does anyone have vague idea what would be approximately minimal ranking for a player to have a chance in draw/win against top GM with queen handicap?

I never met anyone who can't beat god with a queen up. May be we should have a beer so you can explain to me how you do that

I can always have beer, even when playing God with queen handicap. Sorry, but it looks to me like we're not in the same league, I cannot see myself beating GM with queen up.