Yep- every woman is different. But any side effects should go away within three months, if they don't, you'll want to switch to something else.
For me- I had some light spotting for my first 3 months exactly on the pill, and now it's fine.
But remember, you can have sex while you're on your period. I promise that blood won't come spilling out of you or anything. Some women, myself included, enjoy sex during their period even more.