I seem to be having some interpersonal problems with a female co-worker in my workplace. To put it into context, I'm a middle-aged male and she is a fair bit younger (early 20s).
I first met her at a workplace event a couple of years ago, soon after things started to open up post-Covid. We were introduced and had a brief chat - she seemed quite friendly and we seemed to get on fairly well. She is not a member of my close team and not someone I see very frequently. I typically pass her in the corridor or bump into her in the coffee room perhaps once or twice a week.
The problem is that, in the weeks after we met, everyone was wearing masks and it seems (I suspect) I may not have recognized/acknowledged her on passing her in the corridor several times. She seems to have taken some offense at that and interpreted it as me being rude. (I'd like to point out though that on those occasions, if she recognized me, then she didn't say "Hi" to me or acknowledge me either)
The reason I believe she is offended is that I bumped into her in the tea room about a month-and-a-half after we met (we hadn't had any verbal interaction since then). I asked her how she was and tried to start up a conversation, but she quite clearly gave me a 'cold shoulder' and walked off. Since then, things seem a bit awkward if I bump into her. I have tried to be polite, say "Hi, how are you?" when I see her, but it's been almost 2 years now since we met, and I'm not seeing any sign of her thawing out towards me.
So, I would like some advice on how I can resolve this, as I'm not sure what I have done wrong and I don't really like the sense of 'friction' that there seems to be. She isn't someone that (right now) I need to interact with frequently, although it is possible that I might need to work with her more closely in future. Really, I would just like to have a healthy, positive working relationship with her, but I'm not sure how to approach this, if she seems to be holding a grudge. I don't think confronting her about it, asking her "what's the problem?" would be a good idea, as I don't want to do something that might make her feel more uncomfortable.
In particular, given this apparent issue, what would be an appropriate way to behave when I pass her in the corridor to get her to thaw out a bit?