  The $\rho$-parameter, together with the W-and Z-masses, acts as Occam's razor
on extensions of the electroweak symmetry breaking sectors. We apply this to
non-doublet Higgs scenarios, by examining
  the CDF- $II$ claim on the W-boson mass. Suspending any judgement on the
  CDF claim, we show that in general, if one works at the tree level,
theoretical models which predict $\rho =1$ at the tree-level are inconsistent
with the CDF claims at 4-6 standard deviations
  if one confines oneself to the existing Z-boson mass, and the earlier $M_W$
value
  from either the global fit or the ATLAS data. We take some well-motivated
scenarios containing one or more scalar SU(2) triplets in addition to the usual
doublet, and show that, both a scenario including a complex scalar triplet and
one with a complex as well as a real triplet (the Georgi-Machacek model) can be
made consistent with the new data, where a small splitting between the complex
and the real triplet vacuum expectation values is required in the second
scenario. We will explore the consequences of this splitting, either at tree
level or via incalculable new physics contribution to $M_W$, and indicate, as
illustrations its implications in $H^{\pm}W^{\mp}Z$ type interaction vertices.
