Sarah: Yes, cleanliness is very important, and I think women have a special instinct about keeping things clean. Particularly important, post-surgery, of course.
And you're quite right. Tattoo care is so widely known and practised and understood that it's so often a benign routine, what with the fact that many parlors are more like salons these days, and with at least 60% - 70% of people having done it being women in any case.
With surgery, though, it's good to avoid risks of infection.
Blessings.