From The TimeSplitters Wiki

Wood Golem
Unlocked by	Beat Playing With Fire with Silver
Species	Tree
Size	Large
Accuracy	7 of 10
Agility	3 of 10
Stamina	7 of 10
Fire Proof	N/A
Shock Proof	N/A
Default AI	3 Stars
Native TimeZone	????-1920s
First Appearance	TS2 Story Mode
Relations	N/A
Games	TS2

TS1 Gesture	N/A	TSFP Gesture	N/A
TS2 Gallery	Around the Temple, the thirsty roots of trees have sucked up the blood from a thousand human sacrifices. The souls of these ancient victims now prowl the earth bound within gnarled skins of wood.	TSFP Gallery	N/A

The Wood Golem appears in the Aztec level of TS2. In the level they can only be killed by being set aflame from a flaming arrow from a crossbow. They appear to be walking trees and do not have any facial features.