As verbs the difference between consent and cosy
is that
consent is to express willingness, to give permission while
cosy is to become snug and comfortable.
As nouns the difference between consent and cosy
is that
consent is voluntary agreement or permission while
cosy is a padded or knit covering put on an item to keep it warm, especially a teapot or egg.
As an adjective cosy is
affording comfort and warmth; snug; social.