I've been dating a non-Greek for a year now and we're getting married in a few years. I've never really had a strain in our relationship because of it. It can be hard at times trying to balance sorority life and relationships with my boyfriend, and since he lives an hour away it's hard to find weekend time because I have to be here for chapter, exec meetings, and for other odds and ends. However, we always work it out.
Now last year I dated (briefly because of this) a guy who was really unsupportive of my greek life. He had a horrible opinion of greek life and flat out told me if I rushed he would never visit me at my house. He was a lazy ass and I dumped him on Bid Day.
Who needs guys like that?