In this case, it seems like the details matter but when you say "went something like this", its unclear if you've actually got their argument correct.
1) Had there been attacks on women on campus or in the area?
2) Was the closure actually to discourage anyone (including women) from hanging around the labs late at night when the crime rate is higher (before a camera was installed)?
3) Was the workload for the courses that used the labs such that it likely required late night working?
I'm guessing the answer to some or all of those questions is actually yes. You make it sound as if this was unnecessary complaining by some women, but is this the case? Furthermore, have you ever walked around the campus late at night as a woman? (or at least talked to women about this issue)?