What does this mean in your opinion (LDR)?

I’ve been seeing this girl for the past two months. We live in far away in the same country but meet every 2–3 weeks, and we’ve met in person three times so far, each time for 4–6 hours (due to travel). We take turns visiting; she came last, and I’ll visit her next. We haven’t kissed or held hands yet, but we always greet each other with long hugs.

Yesterday, I asked where our relationship is heading and expressed that I’m willing to commit. She didn’t really answer but said she enjoys spending time with me. Shortly after, we started discussing a potential trip together within the country, far from where we live.

She doesn’t expect me to pay for things, although I offer. Sometimes she accepts, but then insists she’ll pay next (which she does). She’s hesitant to accept gifts. Yesterday, she liked a $4 glass but debated for a while if she could safely bring it home, in the end I bought it for her and next time I will bring it to her.

We haven’t talked about past relationships, but I get the sense she’s not very experienced, which I don’t mind. I do feel she’s a bit distant and shy, possibly because of this, but that’s just my guess.

I don’t want to push her into anything. I really like her and think we could work well as a couple. We have a lot in common, and I’d love to hear her thoughts about us. Not holding hands or kissing feels distant, but planning a trip together seems like a big step, one I wouldn’t take with someone I didn’t fully trust.

tl;dr: I’m seeing a girl (LDR). We’ve met in person three times, spending 4–6 hours together each time. She didn’t answer when I asked about our relationship’s future but says she loves our time together. We haven’t kissed or held hands yet, but we’re planning a trip together, far from home.

What does this mean in your opinion (LDR)?
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