Do I HAVE to apologise to my Brother's Filipino wife for my nasty comments?

[Ashley]

O.K so my Brother told us two years ago that he had met a Filipino woman at University and he introduced us to her. My parents knew a lot more about her but I didn't as I had been away on a year oing holiday in the USA. I was 18 at the time. Now when my parents excused themselves to answer the door to a delivery man I told my brother in front of her that this woman was nothing more then a golddigging s.l.u.t who is only with him for a visa and he needed to get rid of her asap!!! I then made it clear to her that I KNEW what she was playing at and that she needs to go kill herself. I then made my excuses and left My brother (thankfully) never told my parents but she wrote me a letter by recorded delivery with pictures of her father and her passport which showed she was in fact born in the U.K and had a white Irish father. She asked me to be happy for her and my brother. So I handed the stuff back to my Brother and he told me I should apologise but I didn't because I didn't think I should have to. Afterall it was a reasonable presumption to make do you not think???? But now they're married and he's still telling me I need to apologise and he won't let me stay over at his house until I do but I was used to go over to his house every summer for a holiday and now I can't it's not fair!!! Should I apologise?????