Can I suggest something else? If the stubbly woman happens to be a cow-orker, try not to discuss it with other people in the workplace. You’d be amazed at how quickly these things can get back to the person in question. She will always have one confidante there, who will relay even the most awkward gossip back to her.
I used to work with a lady who was kinda notorious for her 'tache. Folks used to joke about it all the time, forgetting that the person sitting next to them happened to be a close friend of the lady in question. Next thing we know, the 'tache has been bleached, and it turns out it’s because she received a little heads-up from her friend… along with the name of the person who was making the wisecracks. Relationships between a few people on the department were kinda strained after that.
My story: I have a genetic hormonal imbalance (no cure, no good medicines). I have lots of facial hair. I use a torture device that literally rips the hair right out of my face. I have to wait until the hair gets to a certain length before the torture device can be used. Shaving only makes it worse. Trust me–I know this from personal experience. Bleach makes my skin break out.
Right now I have many chin and moustache hairs–some are dark brown, some are white. I am conscious of them every waking moment. I have put off getting rid of them because I am going on a 2-week vacation where I will not be able to use the torture device, and I am waiting for the last possible second in the hopes that my face will stay relatively hairless for the entire vacation. I live in constant fear that someone will say something. Sometimes it is hard to look people in the eye because I am so self-conscious.
There’s really nothing I can do until the hair is the right length. I have accepted that I have hair in other places that only my husband sees. I do nothing about it because no one else sees it and my husband understands and deals with it. I deal with the facial hair when I can.