  Tidal Disruption Events (TDEs) have been found to show a preference for
post-starburst (PS) and quiescent Balmer-strong (QBS) galaxies. This preference
can be used to help find TDEs in transient surveys. But what other transients
might "contaminate" such a search, and by how much? We examine all reported
transients coincident with the centers of galaxies in the French & Zabludoff
(2018) catalog of spectroscopically confirmed PS and QBS galaxies and
photometrically identified PS and QBS galaxy candidates. We find that TDEs and
Type Ia supernovae (SNe) are the only types of transients classified in the
centers of these galaxies (aside from one active galactic nucleus flare), with
Type Ia SNe being 8.3+-0.2 times more prevalent than TDEs (1-sigma confidence
bounds). This factor is ~2.7 times lower than in a control sample of quiescent
galaxies. Narrowing the sample to spectroscopically confirmed QBS galaxies does
not change these statistics much. In spectroscopically confirmed PS galaxies,
however, TDEs are the ones that outnumber Type Ia SNe 2+-0.6 to 1.
Unfortunately, there are few such galaxies in the catalog. By classifying
transients from the entire catalog, three times more TDEs are expected to be
found, but with a ~16-times larger Type Ia SN contamination. We use the public
ZTF photometric archive to search for possibly missed TDEs in the French &
Zabludoff (2018) galaxies. We find three unclassified clear transients -- none
of which are likely missed TDEs based on their light-curve colors.
