Is it a red flag when the woman never messages me first (but always responds when I message)?

I’ve started to get to know a young woman who I met a social gathering a few weeks ago. It’s been friendly / playful but I straight up told her at one point I was interested.

That should be obvious to women when a man approaches them and gets their number. But some women still naively like to fall back on “oh I didn’t know you felt that way” (translation: I thought you were sucker enough for the friend zone). Don’t want to waste my time and I don’t want to leave any room for doubt.

She kept talking to me after I said that (good sign). I went back to keeping things light and funny. I never mentioned anything sexual.

Although she always responds to my messages but she never messages me first. That’s got me nervous.

She did recently break her leg in a skiing accident. She said she wanted to wait a few weeks until she is able to walk again to meet up in person. I’ve been supportive about giving her advice for mental health. I know what it’s like to be injured and not being able to walk. It can really screw with you mentally when you aren’t mobile

Her situation is understandable. But still her never messaging me first can be a very bad sign. Besides making texting her Merry Christmas I am thinking of going radio silent on her. I don’t want her getting to comfortable with the “virtual buddy” bs. I’ve seen this happen with other women in the past.

Thoughts?

Updates
12 d
I’ve decided that I’m going to go radio silent. I might send her a simple “Merry Christmas” in the next few weeks but nothing else.

I think I’m just disappointed. I got a very busy life (two jobs) and have little time to date / socialize. So I was hoping this prospect could lead to something. But I know it’s a really bad idea to over pursue.

Anyway she knows where I stand. I made that clear. So if I don’t hear back from her then I got my answer. But if she does reach out then maybe.
Updates
12 d
And honestly for your ladies saying “I never message guys first”. Ah I can understand that in the very early stages of dating. But it’s NOT okay to have that expectation after you have gotten to know a guy. Not in 2025

More often than not you just see him as quick validation but don’t have any real respect / romantic interest for him.

Just (politely) straight up with guys in this scenario. Tell him you appreciate his efforts but out of respect he needs to know you are not interested.
Is it a red flag when the woman never messages me first (but always responds when I message)?
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