I think there might be a good chance that it was a date moreso an outing with no friends. She asked first if I was gonna invite friends and I said they were busy and I asked her the same. I guess she also purposely made sure that none of her friends came so there might be that. It could be an assumption honestly. It was weird though cause her parents were conservative and traditional I guess so I had to pick her up at the park a block away from her house.
It was also weird to at the end of the "date" that we were talking about vacations and I mentioned that I was going to Japan next year. She kinda got jealous but said that if I was gonna go again in the future that she wants to come along. That caught me off guard actually. So I'm really hoping there's something but I guess she's studying for her clinicals so the next couple of months might be a lull. I'll probably ask her out on a proper date next time.
Nearly everything in this post is wrong. I don't expect you to browse through nearly 20,000 posts, so I'm going to highlight things.
1. Yes, it was an assumption. You don't
default to anything romantic. You had an outing with a friend. You need to accept that rather than wonder. (And no, before you ask, you can't retroactively convert something into a date.) That doesn't mean you shouldn't feel happy that you had good conversation and perhaps some chemistry. But disabuse yourself of the idea that something has a "good chance" to be a date: it either is or isn't.
2. I don't know what "hoping there's something there" means, but there's a very simple way for you to find out: ask her on a date.
3. If someone likes you, they'll find time for you. No one is busy 24/7. If they are or claim to be, they're not interested in you. People -- friends, romantic partners, business contacts -- can and will make time for you if they want.
Frankly, it sounds like you're already talking yourself into happily accepting the fact that she'll soft reject you by claiming she's busy. This isn't a good look.
4. Why are you saying "probably?" It sounds like you're entirely lacking confidence and afraid of being rejected.
Stop. The worst possible outcome is that she's not interested. You'll live. She'll live. The world will turn. Don't use hedging language with her, and certainly don't use wishy-washy language here: ask her out, do it soon, and accept the consequences.
I seriously think most problems could be resolved if people authentically expressed how they were feeling.