  We report the joint WASP/KELT discovery of WASP-167b/KELT-13b, a transiting
hot Jupiter with a 2.02-d orbit around a $V$ = 10.5, F1V star with [Fe/H] = 0.1
$\pm$ 0.1. The 1.5 R$_{\rm Jup}$ planet was confirmed by Doppler tomography of
the stellar line profiles during transit. We place a limit of $<$ 8 M$_{\rm
Jup}$ on its mass. The planet is in a retrograde orbit with a sky-projected
spin-orbit angle of $\lambda = -165^{\circ} \pm 5^{\circ}$. This is in
agreement with the known tendency for orbits around hotter stars to be more
likely to be misaligned. WASP-167/KELT-13 is one of the few systems where the
stellar rotation period is less than the planetary orbital period. We find
evidence of non-radial stellar pulsations in the host star, making it a
$\delta$-Scuti or $\gamma$-Dor variable. The similarity to WASP-33, a
previously known hot-Jupiter host with pulsations, adds to the suggestion that
close-in planets might be able to excite stellar pulsations.
