I have read that wearing shorts, tank tops and things revealing but covering the private part is permissible (for male) during prayer. And outside prayer but my question is I have read that it’s permissible to wear them outside if it does not cause fītna, now isn’t this up to the females not to look? What does this deeply mean?

If you wear that outside knowing that females will see and it will attract their attention negatively, then you cannot wear that. Yea they must lower your gaze, but you cannot wear that.