Generally, in hydrogen bonding, electron density is drawn away from the proton donor atom to the electronegative acceptor atom. The proton gets de-shielded and shifts to higher ppm. The acceptor atom gets more shielded and should shift to lower ppm. Therefore, IF the fluorine in your particular case is engaging in hydrogen bonding, it should shift to a lower ppm value.
You might also see through-space J-F coupling if it does.