well, Ive had that sorta experience, but truth be told, I was not angry, offended, or irritated in any way xD. you see. I was on my everwolf(my own species, a subspecies to the werewolf. it basicly has no human form) just hanging with my pack at SB, trying to get members. so I had shot out a few (epic) adds, and this everwolf comes up, and I notice she has the same brown body colour, the same red scars, same red glow eyes, basicly everything, and she comes striaght up, and asks to join the pack. sure! I was happy to let her in and wasnt bothered she looked like me, I basicly assumed she didnt know how to look with her everwolf, so she made one similar to mine :3
But then, she lays down next to me, looking like shes 'cuddling' me. I immediatly understand then why she looked like me, but I hardly cared. she then whispered me, and asked "Do you have a mate?" I told her yes, I did, and she immediatly moved away, and I think she looked slightly embarrased xD.
I was completely fine with all this, and she roleplayed pretty good. I later asked her if she would, instead, like to be my sister, as she looked like me. she agreed, and I sometimes look back on it for a bit of humour, but never annoyance, anger, or offendance.
so yeah, happy, active longterm pack, is still a happy, active, longterm pack. no awkwerdness yet xD