I let a strong engine play the position against itself. White gets checkmated after 40 moves. So I'm going to guess the position is winning for black. From the start, the engine calls the position as -2.7 in favor of black.
In an actual game with 2 humans of equal strength playing I think all 3 results are very much possible at all levels of play. With lower rated players I would give white the advantage. I would imagine that the queen will surely find a fork somewhere and pick up some material then win. The higher the equal rated players get in rating and time on the clock through the more I think I'd favor black to be the likely victor because black is winning but it's complicated and it's easier to play for white in a lot of lines. Black has 4 pieces to coordinate perfectly and not hang but white only gotta worry about the queen. Also white is pushing the passed pawns.