If you have very strong faith, and she's a firm non-believer,
there'll be many conflicts after marriage (are your children going
to be Christain?). You can accept all her "don'ts" right now, but
will you be able to accept that 5 years down the right? When your
faith grows really strong? Maybe your love for her is strong enough
to overcome all obstacles, that only you'll know.
As for true love and accepting people for who they are, I do
believe that she tries to accept your faith, but is very insecured
about her future with you. Perhaps she wants to be assured that you
will not abandon her in the name of God somewhere down the
road.
For some reason, people seem to forget that free thinker has their
own faith and beliefs too. What do you have to give to accept a
free thinker as who she is, except that it's against your faith and
belief? This is no more than what she has to sacrifice to accept
you as a Christain. On top of that, she has to accept your
religious practices? (not that it's anything wrong, it's just
difficult to accept everything for a non-believer)
Marriage and relationship is about love and compromises. The
stronger your love, the more you can compromise. However, do you
feel happy in compromising all the time? How much is too much for
the both of you? Or are you better off finding that someone special
who has the same belief as you?
My honest opinion.
Good luck.