Once, it was quite obvious T wasn't feeling well. The weather was quite warm and she was wearing a cardigan. I asked her out of politeness if she was cold (we always seem to start our interactions by mentioning something about our crazy weather) and she said, "I have a cold. I was so out of it yesterday I had to go home early."

The following week, it was clear she was over her cold, but I decided to ask anyway if she was feeling better, to which she said yes and thanked me.

I think it would be okay to ask. Shows her you care.