haying vs time of year

haying and time of year both are nouns.

Word	Noun	Adjective	Verb	Adverb
haying	Yes	No	No	No
time of year	Yes	No	No	No

As nouns, time of year is a hypernym of haying; that is, time of year is a word with a broader meaning than haying:

haying: the season for cutting and drying and storing grass as fodder
time of year: one of the natural periods into which the year is divided by the equinoxes and solstices or atmospheric conditions

Other hypernyms of haying include season.

haying (noun)	time of year (noun)
the season for cutting and drying and storing grass as fodder	one of the natural periods into which the year is divided by the equinoxes and solstices or atmospheric conditions
the harvesting of hay