One of the challenges of the island is that the main town, San Miguel, is on the northern end of the island.
Not to pick nits but to avoid misconceptions by folks who don't know the island, San Miguel is just north of the northeast/southwest midpoint of Cozumel, on the west coast of the island.
See Cozumel Reefs | Diving Reefs in Cozumel
San Miguel is the orange area on the map.