How can a group of female students serve religion and country by gathering and implementing ideas, while maintaining gender segregation in a mixed-gender university, especially given that some young men wish to participate?

What you have decided concerning limiting these groups to girls only is commendable, because mixing between genders—especially at a young age—carries many risks and dangers. Male students can carry out similar charitable work separately, without mixing with girls, in order to avoid the pitfalls of mixing.