'Orange Is The New Black' Star Ruby Rose -- Fiancee Stakes Her Claim ... She's With Me, Ladies! (PHOTOS)

Ruby Rose, the smoking new star of "Orange is the New Black" ... is breaking the hearts of all the men and women drooling over her -- by flaunting her fiancee around town.

Rose and Phoebe Dahl -- who got engaged a few months ago -- arrived back in L.A. on Wednesday after hanging in NYC for the 'OITNB' Season 3 premiere.

Aussie native Rose is getting a ton of attention for her striking looks -- and sure enough, fans hit her up for pics when she and Phoebe went shopping.

A striped shirt and a ball cap would be "dressing down" for most people ... but most people don't look like Ruby.

Phoebe wins.