In this variant, all normal rules apply, expect for the following:
With these rules, all king and pawn vs. king endgames would win, since the losing side cannot capture the pawn, and the queen would then be able to deliver mate by herself. This variant mostly changes endgame strategy.
I feel that this variant modifies the rules less than Michael Ward's Drawless Chess. Alternative names, since Mr. Ward is already using Drawless Chess, might be Showdown Chess or Bloodthirsty Chess or Zero Sum Chess. Hopefully one day something like this could be used to end quick grandmaster draws.