koreans are fast...
i'm indonesian but i live in korea for my undergraduate program...
for me, it's seems okay for korean to be fast paced...
i asked my girlfriend for dinner in 3 weeks from the first time we met.
but there's some difference though...
there's several korean guy backing me up and giving me courage.
and also, she seems to be interested with me as well (not for sure though...)

in your case...
it's normal if she's hanging out with other koreans since she's just got there from korea...
you should be brave and keep moving bro~
when you're out with her, ask her to also teach you korean language and you could also teach some of filippine's language to her~ ^^
start learning korean bro~ good luck~