little, small
loud
derisive

give, let out
He gave a snort of contempt.

hear
stifle

with a snort
‘What a mess they made of it!’ said Sam with a snort of derision.

snort of

a snort of derision, a snort of disgust
a snort of laughter

loudly
softly
angrily, contemptuously, derisively, impatiently, indignantly
He snorted indignantly and walked away.

at
She snorted at his suggestion.

in
Calvin snorted in disbelief.
He snorted in disgust.

with
He snorted with derision.
Her friends snorted with laughter.

Snort is used with these nouns as the subject:
horse

Snort is used with these nouns as the object:
cocaine, coke