This is a blessed loss. Mate can be forced, but a draw can be achieved under the fifty-move rule.
To probe all KQNPvKN positions, these tables and their transitive dependencies are also required:
KQQNvKN · KNPvKN · KQRNvKN · KQBNvKN · KQNNvKN · KQPvKN · KQNPvK · KQNvKN