Occasional pain in right kidney area made worse by drinking. Seems to be concurrent with menstrual cycle. Otherwise health 22 yo f. Kidney failure?

Endometriosis? Abdominal and/or pelvic pain in a healthy female that is synchronous with her cycle is suspicious for endometriosis. I would start with your OB doc to rule this out. They can also help you rule out kidney failure with urine and blood tests. Start with you OB and see what they can do for you.
Obstruction. Flank pain after drinking is classic sign of a blockage between your kidney and ureter and should also be evaluated with a kidney ultrasound.