From The TimeSplitters Wiki

Snowman is a character featured in both Timesplitters 2 and Timesplitters: Future Perfect. According to his gallery entry in TS2 he traverses time in search of death and glory. Snowman's character select gesture when chosen in TS:FP is to spin around on his magical carpet while also informing the player that he is 'walking on air'.

Snowman looks like any ordinary snowman, except he travels using a magic flying carpet. He has a carrot for a nose and coals for eyes. He also has a red scarf.

Snowman doesn't feature in the story mode of TS2 but he is a bonus character in Arcade League. He is unlocked by completing the challenge Snow Business in the Honorary League. He also features as an enemy in the recommended bot sets for:

Ice Station Streets

Snowman's voice is similar to that of a small child's. When set on fire he loudly states the obvious and shouts: 'I'M MELTING! NOOOOO!'

Gallery Entry: Brought to life by a child's wish, the Flying Snowman traverses time in search of death or glory.

Default AI-1 Star

Snowman's stamina is fairly weak and he can be killed without much difficulty by a headshot from a weapon such as a Tactical 12 Gauge shotgun. SBP90's can finish him off within a second.