The title is an reference to the quote, "You May Now Kiss the Bride".
The creature that comes out of the person and attacks the doctor is a reference to the Alien film franchise. The man the creature burst from, “Mr. Braga,” was named for Brannon Braga by executive producer David A. Goodman, who worked under Braga on Star Trek: Enterprise.
Peter mentions Supermarket Sweep. Supermarket Sweep was a game show set in grocery stores where the contestants would answer grocery related questions and unscramble words and then run around madly inside a store grabbing merchandise at random.