  We study the implications for Two Higgs Doublet Models of the recent
announcement at the LHC giving a tantalizing hint for a Higgs boson of mass 125
GeV decaying into two photons. We require that the experimental result be
within a factor of two of the theoretical Standard Model prediction, and
analyze the type I and type II models as well as the lepton-specific and
flipped models, subject to this requirement. It is assumed that there is no new
physics other than two Higgs doublets. In all of the models, we display the
allowed region of parameter space taking the recent LHC announcement at face
value, and we analyze the $W^+W^-$, $ZZ$, $\bar{b}b$ and $\tau^+\tau^-$
expectations in these allowed regions. Throughout the entire range of parameter
space allowed by the $\gamma\gamma$ constraint, the number of events for Higgs
decays into $WW$, $ZZ$ and $b \bar b$ are not changed from the Standard Model
by more than a factor of two. In contrast, in the Lepton Specific model, decays
to $\tau^+ \tau^- $ are very sensitive across the entire $\gamma
\gamma$-allowed region.
