  We consider the implications of the CDF collaboration high-precision
measurement of the W boson mass on models with a non-standard Higgs. We show
that this requires an enhancement of 3-10% in the non-standard Higgs coupling
to the gauge bosons. This is naturally accommodated in dynamical models such as
the dilaton Higgs, the Technicolor and glueball Higgs. The needed composite
scale between 2 and 3 TeV can also explain the muon g-2 anomaly, as well as
possible violations of lepton flavour universality.
