Wow! I experienced the exact same thing with my husband when I got into NA, down to the same words "I didn't sign up for this when I married you"
He was definitely embarrassed that I was in NA, and mortified that I spoke about it with some of our friends. He was not supportive, but you know what? He wasn't supportive of my using either, and I managed to do that, so I decided I could recover without his support too!
Do what you need to do. She will either come around or not, but at least YOU will have progressed and saved your life.