Personally I think the side of the ovary doesn't matter. I was lurking on this board for months while I tried to get my head around the idea of swaying. It has also been inconclusive on the side of the ovary.
What seems to really matter is the diet, timing and the alkalinity of your cm. That has consistently makes a difference in most successful sways.
The thing about swaying is that nothing is guaranteed but you are improving the odds. Changing your diet, alkalinity, controlling the timing, big Os, ions etc can only improve the odds. I was nervous before I tried and 'swayed' for almost half a year before actually conceiving.
I would say if you are confident you have done enough, then leave the rest to positive thinking and praying!
What was interesting though was that Ramzi and Skull theories were accurate for me. :)
Best of luck!

10/6/10

Our Successful Boy Sway Due 8/8/13. Thank you IG ladies!
My Sway: High Sodium/Potassium diet, Reduced calcium but consumed cheese, Took daily drink of wheatgrass or spirulina with royal jelly honey, Used an alkaline water filter, Drank said alkaline water with fresh lemon or lime, BD on ovulation day, Took mucalator thereafter, Breastfeeding, Positive Thinking and Visulization and lots of prayers! 