  We consider a two-dimensional disordered conductor in the regime when the
superconducting phase is destroyed by the magnetic field. We analyze a
combination of fluctuations of different origin which results in an effective
interaction amplitude suitable for a spontaneous s-wave odd-frequency pairing
instability. We observe that the end point of the superconductivity is a
quantum critical point separating the conventional superconducting phase from a
state with the odd-frequency spin-triplet pairing instability. We speculate
that this could shed light on a rather mysterious insulating state observed in
strongly disordered superconducting films in a broad region of the magnetic
fields.
