Is it permissible for a working woman to combine prayers if her working hours sometimes end at the time of Maghrib, given that there is a prayer room at work? Is it permissible to wipe over socks without shoes if she has Wudu'? And is it considered showing off or hypocrisy if she leaves the office to enter the prayer room during menstruation to avoid embarrassment from her colleagues?

If you are referring to combining the Asr prayer with the Dhuhr prayer, scholars have differed on the permissibility of a resident combining prayers when there is a need: the majority prohibited it, while the Hanbalis permitted it on condition that it does not become a habit. As for combining the Asr prayer with the Maghrib prayer, it is not permissible. It is also not permissible to delay the Asr prayer until the time for Maghrib enters; rather, it must be performed within its prescribed time, even if you have to perform it at work or on the road. Prayer is a priority, and neglecting it carries a severe warning.

It is permissible to wipe over socks without shoes if they were worn while in a state of ritual purity (tahara).

There is no harm in entering a prayer room (musalla) at work during menstruation, because it does not have the same ruling as a mosque.