Just bottled my first batch of brew ever. In my overly-anxious state, I forgot to stir the beer/priming sugar mixture once it was in the bucket. I simply poured the hydrated and boiled priming sugar solution in the bucket at room temp, and siphoned the beer on top of it. Will this result in uneven carbonation? It was a dumb rookie move. I know, I know..."RDWHAHB", but I'm concerned I may have screwed up. Thoughts?