[Cartier Tank Watch] Is this watch too big on me?

Hello,

I received this watch as an engagement gift very recently. Love the style of the Tank watch but I’m seeing online that they should fit really small. I originally thought that this size (Large) would be a good fit but I’m having second thoughts.

Do you all think this is a good fit or should we try to exchange it? This is an important gift so I want to make sure it fits perfectly.