Well, it does look kind of strange, and could be distracting in a professional situation. In a perfect world, we wouldn't have to worry about stuff like that, but that's not the world we live in, so here are some suggestions:
1. Continue using the tape and just explain every time.
2. Purchase something more occlusive that would perhaps clip onto your glasses lens. I found some when doing a search on "eyeglass lens occluders."
3. Purchase some glasses with tinting and occlude one lens with tape or other material. The tinting would theoretically disguise the tape better.
4. Buy an occlusive contact lens to wear in one eye.
I was personally a fan of the Post-It. I'd stick one on my glasses and then if I needed to get up or talk to someone, it was easy to just take it off first. I agree that a patch is uncomfortable, and I just couldn't get past it emotionally as well.
Good luck and sorry you're having DV.