Hello @Canada1867, an annulled game has no effect on your rank
The formula for cancelling (and I think also for timing out of) games is that if you cancel a game on an [n]x[n] board before [n] moves board have been played, the game is annulled. So, if you cancel a 9x9 game before 9 moves have been played (I think the ninth move is NOT included), then the game is annulled, likewise 13 moves for 13x13 and 19 moves for 19x19.
Hope this helps 