The second part of my actor's comment was at the number of times in the period that a character will put on the disguise of a nun or a friar, as the Duke/Friar Lodowick in Measure for Measure (which was written about the same time as Merry Devil probably was). That's easy. Everyone kind of looks the same in the habit of a holy (wo)man, and a simple hooded robe, which will suffice for most early-modern nun and friar roles, is generally easy to put on, and can easily completely obscure another costume worn underneath. In just about every way you could want, it's the perfect disguise.
And, of course, since the Catholics were kicked out by Henry VIII in the 1530s, and the Monasteries dissolved and their valuable land appropriated by the crown, Nuns and Friars are always a safe target of satire,