How cold is a black hole? (-???K)

Viewed from our frame or referance, a non-accreting BH has a blackbody
temperature of damn near absolute zero (depending upon the speculative
"Hawking radiation"). One could also call it a 'frozen EM blackbody' or
FEMBB. It's "frozen" since from our FoR, the clock rate appears to slow
to zero at the event horizon, and all EM radiation becomes infinitely
redshifted at the event horiizon. Yet strangely, the core mass still
communicates gravitationally with us 'out here' in our FoR just as it
did before collapse to the BH state (or FEMBB state).
So how does gravity manage to 'escape' the EH with no
apparent impediment whatsoever? Inquiring minds would like to know. :-)