I am very very very left wing, BUT I can get really annoyed with a lot of those "on my side" advocating for the most idealist of all idealism, as if it's a contest. Feels like a competition of "who's the bestest and mostest leftist of all". You scare people away and - not justifying it - but I get why some people get upset with "the left" because of this...
So, Social Democrat. I wouldn't call that "left wing," in that it isn't a Socialist platform. It would be "left" in comparison to the status quo, but not enough to be "very very very left wing."