sounds like shes interested in you and wants to keep you around but is indecisive about actually wanting to commit.

She let you know that shes interested and interested only in you - "canning all other persuers". Shes telling you that she exclusively likes you, even if she isn't ready to exclusively commit.

Her saying shes busy may be one of two things.
She's testing you, in a way, to see if you'll stick around, if your attraction to her is genuine and won't wan after a couple of weeks...which is silly.

Or shes keeping you at an arms length to stay in control of the situation and budding relationship - saying she's busy, not really even regarding your schedule...

Now the ball is in your court, so to speak. Even though it may appear like she's in charge of where it's going, its really up to you whether or not to follow through.

She could just be very cautious with her emotions and in regards to relationships....orrrrrrrr she could be stringing you on.
I personally think its the former because she let you know she wasn't interested in anyone else...and she let you know that she didn't want anything for two months....