No, there shouldn't be a stigma about it.
Let's see, my partner (a man), my whole family and all my friends know I'm bi. Actually, they were all rather surprised when they learned I was dating a man. My partner's family doesn't know I'm bi, though. I've never brought it up with them because it's never seemed real relevant. My partner is perfectly comfortable with it, but I'm not sure he'd be comfortable with me coming out to his family. That's actually something we've never talked about, and maybe we should. Because my personal policy is that I'm open about my sexuality when it's relevant. I don't go around announcing it for no reason, but I don't keep it a secret, either. At some point in time, his dad is probably gonna make a comment about the issue of gay marriage or something and it will be relevant and I'll feel compelled to speak. I should probably warn my partner.
Obviously, I see no problem liking men and women both. I've always said I was attracted to the person, like who they are inside, not the body, not their sex organs. Most of the time, I am more attracted to women, to be honest. I was married to a man when I was very young (got married in high school) and we divorced and I kind of assumed I would not be with another man after that. Then I fell in love with my partner, who happened to be a man. For a long time I identified myself as a lesbian and for a long time after I was with my current male partner, I still thought of myself as a lesbian. How weird is that?
I'm guessing your husband doesn't have an issue with you being bi? Good for him.
Disclaimer: I am not a doctor and do not play one on TV. I've done a lot of research on vitamins but am not qualified to give medical advice. I'm happy to share my research with you, but you should see a health care professional if you want medical advice.
Check out my blog at: storyofmyservicedog.blogspot.com/