I woke up, got the hump because I felt scammed into coming to Cozumel and we could have stayed in Tulum, our paradise.
But as usual, my hubby explained to me that it is what it is and we just have to make the best out of it.
So we rented a jeep thing (it's not a jeep but looks like one) and drove around the island, expect your rented car to be old, ours couldn't lock and none of the meter readings worked so we had no idea how much gas we had, how fast we were going and the only light that was on was "service engine soon".
Although it's still miles away from Tulum, the sky cleared and we found a few beautiful beaches. We found a particularly quiet one and sunbathed.
Then, we drove around the rest of the island. Just remember don't rent a bicycle or a scooter because the island is small but not that small. The heat, the road and the fact that you need to carry towels and backpack justify the renting of a car/jeep instead. Pay a little more for insurance, it's worth it.
We will go diving tomorrow and I can't wait as Cozumel is one of the best places in the world to dive.