A post straight from the DG blog on when and how to wear our badge
In short: as long as you look presentable and represent Delta Gamma with pride, you may wear the badge however you'd like. Some chapters have bylaws that govern how to wear it on campus, but otherwise I would assume the national rules apply. I know in my chapter we only recently found out we could wear it outside of formal chapter attire and ritual, and now many sisters have opted to wear it on a chain as a necklace when it doesn't need to be formally pinned.