The time on Chicken Smoothie is currently: 11:56:48, May 4th
New monthly pets and other events are usually released at the very beginning of the day in CS time, e.g. the 1st of the month at 00:00:00. This is the moment we refer to as "rollover".
The CS timezone is probably different to where you live, so this might not be the beginning of the day for you. Just check this clock to see what the CS time is!