nuzzle
Concise Oxford English Dictionary © 2008 Oxford University Press:
nuzzle/ˈnʌzl/
▶verb rub or push against gently with the nose and mouth.
– origin ME (in the sense ‘grovel’): frequentative from nose, reinforced by Du. neuzelen ‘poke with the nose’.
'nuzzle' also found in these Oxford entries:

