RORY: She made you apply to every one [of the colleges]?
LANE: And measured my head for a wimple.
Wimple, a medieval form of female headcovering, formed of a large piece of cloth worn draped around the neck and chin, covering the top of the head. Its use developed in early medieval Europe; in medieval Christianity it was unseemly for a married woman to show her hair. Today a plain wimple is worn by the nuns of certain orders who retain a traditional habit.
Once again, the show (or Lane?) somehow conflates Mrs Kim’s Seventh Day Adventism with Catholicism, something that seems to happen a lot.