As Costa Maya is primarily a tourist region and is for the most part a manufactured cruise port that is relatively isolated. In port there are really no unsafe places or places to stay away from and most excursions will be led by guides. If going on your own to one of the nearby towns then caution should be exercised as always especially in Mexico.
Fun Ashore has the detailed information on the Ports of Departure and Ports of Call to enable cruise vacationers to simplify their planning, maximize their enjoyment in each port and to give detailed descriptions of all of their options so they can make the best decision for their vacation. It was created to help promote the enjoyment of the cruising lifestyle by also enabling both novice and experienced cruise vacationers to maximize their knowledge of the ports they are going to experience and how to ease their embarkation and disembarkation time.