I don’t know if I should confront my new girlfriend for being very distant or not?

I started talking to her about 2.5 months ago, we were talking a lot and we had a lot of great dates. I asked her to be my girlfriend about 2 weeks ago and we had sex the first time that night. But since then she has been distant. She’s been going through a lot with work and has been really stressed and has apparently not even wanted to see friends. She gets home and she is socially and physically drained and doesn’t want to talk to anyone, including me. She has explained this. But it’s gotten worse.

I went on a weekend trip and I barely heard from her, I tried to talk with her but she would take all day to respond, if that. And I just don’t know what to do. I’ve been trying to give her space but I’ve seen her once since I asked her to be my girlfriend and she doesn’t seem enthusiastic at all to see me again. It really could just be a bad coincidence. She is going on a weekend vacation too coming up and she said she thinks she needs that to feel like herself again. But it’s been weeks. I was going to send this to her, but I don’t know if this will make things worse, but I’ve been very stressed wondering what happened and if she even wants to be with me:

“I know you’ve not been feeling good but I just wanted to check, you’ve been distant since I asked you to be my girlfriend. I know you’ve been tired and had a lot going on, but I just wanted to make sure everything was okay. I just don’t want to you to feel pressured into doing something you don’t want”

I just don’t know if this will backfire, if she will be receptive or just say that she’s feeling off and that she hopes she feels better soon. I’ve sent little things like “is everything okay?” And she will normally text back faster saying “sorry I’ve just been really busy today”. She could actually be very overwhelmed and it’s not me or us. But I’ve always felt very excited when I’ve gotten a new girlfriend, even if life was stressful otherwise.
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Sometimes I try to update her on my day like we used to, or just ask how she’s doing. She hasn’t really acknowledged any of my messages about personal life at all. I also don’t text her too often, on days where she doesn't respond, I may send 1 text and wait for a response. I’m really trying to not overload her or stress her out, but I just don’t know what to do, because this is hurting me…
I don’t know if I should confront my new girlfriend for being very distant or not?
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