I have pain in my lower right side near the groin area. It is a seven on a scale of 1 to 10. I am a female, age 59, postmenapausal.?

Could be serious. Post menopause cramps are annoying but not too serious. You should see a doc soon, urgent care or er. This could be appendicitis, femoral hernia or inguinal hermia.
Prob groin pain. Get checked for a hernia , if not present would do a pelvic us qnd then if negative would treat with heat and motrin!