They never did explain why Worf's allowed to wear that baldric, did they?
No, and when Ens. Ro beamed on board Riker read her the riot act about recognizing uniform regulations and made her remove her [religious] ear ring.
All while Worf was wearing his warrior sash and Troi was mincing about the bridge in her robe.
And in DS9, Nog got away with wearing the Ferengi headgear in uniform.