Well, may be i don't understand something, but for me there is absolutely no difference whether district elects male or female; "straight" or "gay/lesbian"; Protestant, Catholic, Mormon, Muslin, Jew or Buddhist; White, Black, Hispanics, Asian or Native American. And so on. The only criteria i use is "congressman must reflect views of his/her district as close as possible". That's why a "natural" congressman in liberal district for me is a "progressive", in swing - "moderate", in conservative - "conservative". I don't give a damn if a black-majority district is represented by white Jew, as is the case with Steve Cohen in TN-09 or - heavily Hispanic district by white (who also happened to be Jew) as was in Howard Berman case in California until 2012. Never understood an "identity politics" and, probably, never will...
Tribal and communal interests are part of any equation. They may not determine, who wins, but they, obviously, have to have an impact.