I get along really well with a female co-worker and I'm pretty interested in her, but I've been hesitant to progress from basic frendliness to anything more forward after realising she's Muslim. I'm white & nonreligious but I know the rules that Muslim chicks aren't allowed to date, or to interact with most men, or to marry non-Muslim men, but idk how likely it is she follows those rules herself since she seems like a somewhat casual/progressive Muslim. She's arab but has never explicitly mentioned her religion to anyone here, and it's not obvious - I only figured it out when I realised that her given/family names have strong religious connotations, and from there a bunch of things suddenly made more sense. General things:

>Doesn't wear a hijab, but does dress in modest casual clothes
>No social media
>Went to a western University and has a proper career-orientated degree
>Has no issue being in a mixed-gender workplace or interacting casually with male coworkers - has initiated/approached me for 1-on-1 chat plenty of times
>Comes along to after-work drinks but doesn't have alchohol
>Doesn't do prayers at/during work as far as I know
>I don't know anything about her family

I wouldn't usually be worried about shitting-where-you-eat concerns but in this situation I fear that asking her out or being forward could freak her out or ruin our working relationship if it's contradictory to religious rules that she genuinley cares about, and even if things did go well initially I wouldn't want to be assaulted by her father/brothers when they find out about me or forced to convert to marry.

What do anons? Forget about her and save myself the risk? Attempt to subltly find out how she feels about men/dating/relationships in relation to her religion before going any further? Just go for it and ask her out?