I messaged her on WhatsApp around Christmas to see if she had any openings (knowing it's difficult at that time of year). The next day or the day after, she replied saying she had no appointments available.
So I told her that if an opening became available due to a cancellation, she should let me know. I waited for a reply, which never came, something like, "I don't have an appointment until January," or "something like that." She said January would have been fine too; it didn't have to be around Christmas.
It's a shame because I spent quite a while looking for a hairdresser in town, and now that I've finally decided on one, I haven't received any response.