Yes, of course you can wear jewelry in Boquete and feel safe. People in Boquete do not worry about being mugged on account of wearing jewelry. Here in Boquete, no. Maybe in David (the closest larger city to Boquete) or in some other larger city, but I don’t know. The economy of Boquete is in part dependent on it being a safe area. So yes, of course you can wear jewelry and you will not have any problems with that.
The entirety of Boquete is safe. You don’t have to worry about going into any areas in Boquete. However, if you go to David, there are certain places you don’t want to go to because they are unsafe. This was the case for a certain area until recently, when it became safe. As an example, there is a place called Parque Cervantes in David that used to be unsafe. In the past, even the taxi drivers didn’t pick up people in that area of David, but now it is safe. However, in general, there are certain places in David that at 2 AM, you don’t want to walk around.
But in Boquete we never had that problem. I’ve been at parties with my friends and stayed very late and had no problems.
(Found in the cloud forest of Boquete, the jaguar,made here into a jeweled pin, pictured.)