Classic case of the eternally positive guy-logic.
I understand that she's probably good looking, cool etc. But if you are suggesting days to hang out and she doesn't respond with "sorrrrryyyy I can't that day, but I'm free on (date)," then just assume she's saying "I want to be friends but not anything more."
Does she absolutely feel that way? Maybe not. Could be that SHE's super nervous. BUT, you can't look at it that way. Its a waste of your time, energy and rationale. What would YOU do? If a super hot girl asked if you're free on a day that you weren't free (you would probably tell your bro to cancel beer and wings at BWW, and he'd understand), you would probably tell her sorry but you want to hang on (open day). Right? You wouldn't want to pass up an opportunity like that right? Unless she's not your type or you're worried about leading her on. That's what it comes down to.
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I also asked how her day was today, responds, but doesn't ask me again. So I sent her this message:
"why, how was your day dugster? i went to the dog park, it was a good day. thanks for asking :X"
Worst thing you could have done. Especially because she really doesn't care about you going to the dog park.
I'm trying not to be brutal, but the signs are EVERYWHERE that she's not into you in the way you are into her. The balance is tipping your way and you are trying to do wayyyy to much heavy lifting to compensate for it. That, in effect, will push her further away and make you look like a douche. DON'T succumb to that.
The key to things like this is to feel out how they are feeling. You look for IOI's, red flags and patterns that give you an idea of what she's thinking. This instance is a classic example of a really hopeful, positive guy trying to find the silver lining of a dire situation. But look at some of the red flags and its not hard to tell you are on the losing end of the interaction.
Pick up your balls and get on to the next one. This situation may be the best thing to happen to you because its going to make you realize that certain women LOVE attention...until a certain point. Don't let them get it, make them work for it, they'll appreciate you for not taking their shit.