You don't want to introduce oxygen at this point in the process, so don't stir. You'd also stir up a cloud of sediment from the bottom, making it take longer to clear. It's obvious that waiting is not your strong suit, so you don't want to do that

Leave it alone.
When you bottle - make a solution of the priming sugar and a little water, boil it (microwave) and let it cool. Put it in the bottling bucket. Then add your beer to the bucket with a hose that reaches the bottom of the bucket. Avoid splashing. This will swirl the sugar and beer together. Don't stir. Oxygen in beer is bad. Don't stir.
I'd still save the yeast. I save my Belgian yeast no matter the beer I make with it.