If you ever make friends with your recruiter at your airline, take them out and buy them some frosty adult beverages, then pick their brain for "dumbest airline answers" from both pilot AND F/A's.
It'll have you rolling ALL NIGHT at some of the stuff people say during interviews. Things so crazy you know it has to be true...
Incidentally, this is the problem we have with why being a CFI is not a working path to the airlines these days. They learn absolutely ZERO Part 121 CRM skills unless they go and get interview prep.
How many CFI's run into this scenario in their real instructing world? How often do they even fly cross-country in HARD IFR? Not much. So they have to learn it somewhere... the answer is WHERE? Unless they get a job as a 135 pilot and actually HAVE to fly when the weather is crap and learn the associated skills, there's nowhere they can read up on it.
That's why the airlines LIKE the pilot mills... they teach them all the right answers, check all the right boxes, all without really developing any REAL judgment-making skills, but they sound good during the interview...
By the way, the initial question didn't have enough information. Your first job would have been to ask the interviewer a LOT more questions about your position. How did you get into this pickle - is this field your alternate? Where are you? Where is the CLOSEST controlled field with CFR? Do you have the fuel to make it ANYWHERE else that has at least equal or better weather (preferably legal) and that also has CFR in case you DO end up in the grass BY the runway trying to land?
Gotta figure out your options before you can make a command decision. Just not enough information to go on...
p.s. If you want to succeed in an airline interview and you have NO airline experience, you need to start studying. Start with Cheryl Cage's book on interview success, and add into it some other technical / scenario question books. I don't like to push AIR, Inc on people, but their Interview Survival seminar is a MUST if you haven't been formally trained on interview technique - I see hundreds of military personnel in there every time they give it.
If this isn't flame, then good luck to you.