推しメン = 推し
推しメン | 推し – oshimen | oshi. This term can be translated in many different ways. Derived from oshimen (oshi-MEMBER), which applies to groups, it has since been adopted to solo personalities as well as it refers to who a fan considers their favorite. It is someone they have high hopes for and wishes to succeed in their endeavors. They might express that support in many ways: by attending events, rooting for them every chance they get, sending letters and presents, buying merchandise, growing a fanbase, etc. It doesn’t necessarily mean going crazy for them, but one probably can’t stay calm in front of their oshi either.
This also applies to one’s favorite character in an anime or game, referred to as oshi-chara (推しキャラ; oshikyara).