How can you figure out that girls schedule without having to directly ask her about it (aka sounding overly needy aka not very confident)? For example, u asked a girl out on a particular day and time, she tells you that she is busy doing <activity>. You say its not a problem, next time.

You finally think of a great idea to do and it fits perfectly with your schedule, you ask her again, she tells you that she is busy doing <activity>. 2nd time in a row.

If this happens consistently and the girl does not invite you anywhere, wouldn't it convey the message that it just wasn't meant to be? (From the girl's perspective)

I'm talking about a girl that wants a man to lead. Which on my behalf is not that hard. But i am starting to run out of ideas. If i don't keep advancing, interest will eventually be lost.

All assuming that mutual interest exists.

The girl may just be ass-backwards busy. Don't assume it's necessarily an attraction problem.

What I think you should do here, suggest SHE pick a day for you. But do it like this "Well okay, when your free next time, lemme know" .

This combines a freeze out with a subtle demand that she make time for you.

Where it goes from there is up to her.

In the meantime, go find other girls.

Cinnamon

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Yes and no. Basically you want the idea in her head that she is coming out with you. That she is getting an opportunity to be with you. And that is she doesn't act on it, its her loss not yours.
Do this. It helps you not to focus so much, and act needy. This is one of the greatest cures for just about any alignment in PUA's.

If you want to spend time with her you want to spend time with her.

Just leave the invitation, "if you want to meet me, give me a shout.".

It's at lot more laid back and appealling than some formal.

"Let me arrange a time for a meeting with you, I'm a very busy man you see"

Women can get easily intimidated by guys who act like they are above everyone and that she has to keep proving her worth etc etc.

Being laid back and open to her meeting you is a cool trait (Y)