Hi and welcome to HCM!
Thanks for posting your query here.
The throbbing pain
on the right side could be because of renal colic
or any infection the pelvic organs. This can be confirmed by an ultrasonogram and a physical exam. The delay in periods could be of pregnancy if you are sexually active-a pregnancy test will rule out the diagnosis. It could be a menopause
change if you are in premenopausal age. Depending on the stress conditions, and nutritive factors physiologically the periods may get delayed.
Hope this is helpful to you.