Site
late Middle English (as a noun): from Anglo-Norman French, or from Latin situs ‘local position’. The verb dates from the late 16th century.
wiktionary
Probably from Old Norse (compare Norwegian syt).
From Middle English site, from Anglo-Norman site, from Latin situs(“position, place, site”), from sinere(“to put, lay, set down, usually let, suffer, permit”). Doublet of situs.
etymonline
site (n.)
"place or position occupied by something," especially with reference to environment, late 14c., from Anglo-French site, Old French site "place, site; position," and directly from Latin situs "a place, position, situation, location, station; idleness, sloth, inactivity; forgetfulness; the effects of neglect," from past participle of sinere "let, leave alone, permit," from PIE *si-tu-, from root *tkei- "to settle, dwell, be home."
site (v.)
"to give a location to, place," 1590s, from site (n.). Related: Sited; siting.
