What are the implications of changing my convergence criterion in a principal components analysis?

I'm doing an analysis of pilot survey results and this is my first time trying a PCA. The analysis with no rotation was pretty bad (10 factors extracted, none loading on subscales as predicted). I was also going to try the varimax and oblimin rotations, but I'm not getting convergence. I changed my convergence criterion to 0.01, but I don't know the theoretical implications of this...I don't understand well enough to know if this is a responsible thing to do.

Any help would be super appreciated. =)