Old English wræstan "to twist, wrench," from Proto-Germanic *wraistjan (source of Old Norse reista "to bend, twist"), from *wreik- "to turn," from PIE root *wer- (2) "to turn, bend." Compare wrist.
The meaning "to pull, detach" (something) is recorded from c. 1300. Meaning "to take by force" (in reference to power, authority, etc.) is attested from early 15c. Related: Wrested; wresting.
1580s, "twist the true meaning, pervert the truth regarding," from Latin distortus, past participle of distorquere "to twist different ways, distort," from dis- "completely" (see dis-) + torquere "to twist" (from PIE root *terkw- "to twist"). Literal sense of "to twist or wrest out of shape, change from the proper to an improper or unnatural shape" is from 1630s. Related: Distorted; distorting.
1520s, "obtain by force or compulsion; wrest away by oppressive means," from Latin extortus, past participle of extorquere "obtain by force," literally "to wrench out," from ex "out" (see ex-) + torquere "to twist" (from PIE root *terkw- "to twist"). Related: Extorted; extorting. As a past-participle adjective from early 15c.
"the act of extorting, the act or of wresting anything from a person by force, duress, menace, authority, or any undue exercise of power, oppressive or illegal exaction," c. 1300, from Latin extortionem (nominative extortio) "a twisting out, extorting," noun of action from past-participle stem of extorquere "wrench out, wrest away, to obtain by force," from ex "out" (see ex-) + torquere "to twist" (from PIE root *terkw- "to twist").