The current icon of Qualified Beatmaps is the Ranked icon 
which can be seen in song select, however in osu!direct with the filter "Qualified" the shown icon is just an interrogation mark, while it's quite obivously that only Qualified Beatmaps are shown, so I thought it would fit much better to give them both the same their own icon image.
One of my current problem was or which annoyed me - no, I don't really care about if my scores get removed by a disqualifying - that I really can't differentiate a Qualified Beatmap from a Ranked Beatmap in song select. So every time if I want to have no doubts that I can play the map seriously without any hesitate I have to check the Qualified Beatmaplist.
Which could be spared by an icon like this:
or 
or 
or w/e
Idea from Lanturn:
One of my current problem was or which annoyed me - no, I don't really care about if my scores get removed by a disqualifying - that I really can't differentiate a Qualified Beatmap from a Ranked Beatmap in song select. So every time if I want to have no doubts that I can play the map seriously without any hesitate I have to check the Qualified Beatmaplist.
Which could be spared by an icon like this:
Idea from Lanturn:
