compatible? virgo-2nd decan and libra-1st decan

recently met the good looking libra; she has a smoking body,nice personality,ambitious and a risk taker.
she is also virgo-ascendant, so a bit shy at first when it comes to intimacy.
we get along sometimes.., i make her laugh and analyse the situation for her and she talks a lot,
which is good for this virgo.

she does have this attitude of trying to balance situation i.e. not going into conflict
which then result in people taking advantage of her.
a bit into her herself, in terms of beauty.

i have doubts about her and i think she does as well,

am just wondering are we compatible astrologically? or are there somethings we need to do to make this work