This is a blessed loss. Mate can be forced, but a draw can be achieved under the fifty-move rule.
To probe all KQNvKRP positions, these tables and their transitive dependencies are also required:
KQRvKQN · KRPvKN · KQNvKRR · KQNvKP · KQNvKRB · KQNvKRN · KRPvKQ · KQNvKR