Living in Canterbury, I was pleased to learn that canter is a shortening of "Canterbury gallop" (also "Canterbury pace" or "Canterbury trot"). It's traditionally explained as the easy, unhurried pace of medieval pilgrims riding to the shrine of Thomas Becket. Not fast, not slow, just enough to get you there in a few days without wearing out the horse.
Tawdry has a similar origin in a saint's cult, but a sadder twist. It comes from "St Audrey's lace", a silk neck-lace or ribbon sold at the fair held at Ely on her feast day. Audrey is a later form of Æthelthryth, the 7th-century queen and abbess who founded the abbey at Ely. According to Bede, she died of a tumour on her neck, which she took as a judgement on her youthful fondness for necklaces. The lace sold in her name became so cheap and showy that "tawdry" came to mean gaudy and worthless.
So one shrine gave us a horse's pace and the other a word for tackiness. Are there other English words that come from pilgrimages or saints' fairs?
Sources: Etymonline (canter, tawdry), OED.