  The $W$ boson mass is one of the most important electroweak precision
observables for testing the Standard Model or its extensions. The very recent
measured $W$ boson mass at CDF shows about $7\sigma$ deviations from the SM
prediction, which may challenge the internal consistency of the SM. By
performing the global electroweak fit with the new $W$-boson, we present the
new values of the oblique parameters: $S = 0.06 \pm 0.10$, $T= 0.11 \pm 0.12$,
$U=0.13 \pm 0.09$, or $S=0.14 \pm 0.08$, $T= 0.26 \pm 0.06$ with $U =0$ and the
corresponding correlation matrices, which strongly indicates the need for the
non-degenerate multiplets beyond the SM. As a proof-of-concept, we show that
the new results can be accommodated in the two-Higgs doublet model, where the
charged Higgs boson has to be either heavier or lighter than both two heavy
neutral Higgs bosons. Therefore, searching for these non-SM Higgs bosons will
provide a complementary way to test the new physics for the $W$ boson mass
anomaly.
