Accidentally rejected a girl that I was into. Have I messed up? Where do I go from here?

QuestionAskerer
A few weeks ago i had to do this talk for Uni where I had to sell the course im doing to students. I stayed after the talk ended to answer any questions people may have had but ended up chatting to one of them for about 2 hours afterwards. She seemed nice but i just took it as your standard run of the mill stuff i'm a chatty guy at the best of times I thought nothing of it afterwards at all.
But fast forward 2 weeks and i'm in a club with a few friends i wasn't drinking i had decided not to for whatever reason but anyways that girl i was talking to from 2 weeks ago is there. She comes up to me calls me by name and hugs me, again i just thought she's a hugger nothing more but then she starts being really forward with me telling me that she likes me and that she was really into me after i gave that talk. This took me by surprise this isn't the way it normally goes like. She had her hands all over me and was being very flirtatious. I was cautious because i was completely sober and i thought she was fairly tipsy so i didn't want to take advantage. She kept going in to kiss me then half backed out, admittedly maybe i should have come across as more keen. Anyway this went on for a few minutes still flirting with me still being very touchy feely. Then she said she wanted to kiss me but she had a cold or something an didn't want to make me sick which i thought was a lie tbh. Anyways she added me on snapchat & said we should meet up on a date next week when she's better I said of course. That was the end of it that night
Next day i feel really bad for her, thinking she must be embarrassed and that it was just the drink talking with her (I have very low confidence in myself so of course id think this). So instead of messaging her to arrange a date I APOLOGIZED TO HER for making her feel awkward. What is is wrong with me?
This looked like a rejection on my part so she ignored it i made it worse.
Where should i go from here i actually like her. I think i've blown it
Accidentally rejected a girl that I was into. Have I messed up? Where do I go from here?
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