The phrase "snowy season" refers to the period of time when there is a lot of snowfall. It usually occurs during winter, when snow covers the ground and makes everything look white and cold. Full definition
I totally see why people move there once snowy season starts. (paleomg.com)
First to fall victim will likely be California's (already short) ski season; a shorter snowy season - with snow that will melt much faster - will reduce the ski season by a month in some areas and, in others, end it entirely. (treehugger.com)
In contrast to the frozen, snowy season, spring is a harbinger of new life. (rickiheller.com)