My fiancé is on birth control pills and we have

Patient: My fiancé is on birth control pills and we have had unprotected sex as of today. I pulled out, but she is on her last week of pills and will not start her placebo pills until around the 12th of June. I know sperm dies within 5 days if contact is not made by the egg. But are we ok? When does she start ovulating on the pill?

Doctor: