On birth control, period not stopping!

Patient: Hello, last week i missed 2 days of my pill because I wasn’t able to get home, I hadn’t had sex recently so I have no chance of being pregnant. I took the two pills when I got home but ended up getting a period though continued taking my pills as normal and skipping the placebo’s as I was planning to for that month. I got my period last Monday and it is now Wednesday and though it is not heavy shows no signs of going away. I know this sounds stupid but my partner is leaving the country indefinitely in two weeks and would really like for my period to stop soon as possible, it has never gone this long! Should I keep taking the pill as normal or stop? Thankyou!

Doctor: