I have a different take and advice on this entirely.

I work in a field (the arts) that is full of people who think they know everything best. On top of that, everyone is a performer, and full of Drama! Because of that, most people don't get along with each other. I pretty much get along with everyone, and it is because I do 2 things. I leave my ego at the door (it's tough to upset me, you can do it, but it is tough), and I've learned how to diffuse most tense situations.

If I had made coffee, and a coworker didn't like it, I would have said "you know, it really bugs me when someone makes coffee the way I don't like it too! When we have a minute, could you teach me how you make it?"

Most likely, one of 2 things would happen:
1) It would totally take the wind out of her sails, and she would just say "oh it's fine" or something lame like that.
2) She would actually show you how she likes it. Then I would proceed to make it THE EXACT SAME WAY I USUALLY DO, and when she drinks it say "hey, how do you like it? did I do it right?"

Of course, I don't work with this person, and I don't know how she would react. Tactics like this have served me well though. There are a lot of difficult people out there, and if you can get tips, perhaps from your counselor or CoDa meetings, then she would be a great one to practice those techniques on!