if she didn't have a period last month and her periods are irregular, why does she think she was supposed to get her period on the 16th?
since her periods are irregular you don't know when she's ovulating (unless she's temping and charting, which i doubt), and if you're having unprotected sex then she could very well be pregnant.
are you trying for a baby? if so, good luck. if not, she should get on the pill, that will help regulate her period and protect her against pregnancy.
has she tested since her period is late?