Dear ixrev,
Like you have mentioned yourself, 'its only two months' that you
have knew each other. The factors that also create that haste is
due to the fact that she hasn't got a bf before and of course, you
touched her in your little ways. 
After three months courtship, you began to wonder if this guy she
got is really the guy she wants. Please take note that for first
love, its difficult to judge & gauge about the kind of partner
you are truely looking for. 
Stated reason of starting out too early is true
(CloUdiSm Remix III classified as Morning Foundation - simply meant
hasty relationship), while compatiability is an excuse. Compatiable
love is made from a relationship, not given as perfect
partner.
Advice? 
Patch? Difficult to say - Because this relationship didn't turn
soured in the first place. My suggested piece of advice would be to
let her walk around and so will you. She is just embarking her
beginning journey of love and relationship and UNLESS she has
experienced hurt, she will not know what she is truely looking for.

Let her walk, so will you - keep an open mind and be generous about
it. Enlarge social circle and probably friends meanwhile. Continue
to keep in contact, as a good friend. My prediction is that within
six months - nine months, she will get another bf. Don't go crazy
or anything - be generous and let her be. 
P.S: If she is truely yours, she will fly back even if you set her
free. This is applicable to your case. 
Cheers