Howdy
I had to grab an Uberti Cattleman to see exactly what you have taken a photo of.
That is the hole through the frame, where the firing pin goes through, viewed from the rear, or hammer side.
First off, FIRST BEING SURE THE GUN IS UNLOADED, cock the hammer and grab the firing pin. It should wiggle a little bit. It should wiggle a little bit more vertically than horizontally. This is because, as mentioned, the firing pin has to 'find its way' through the hole. The hole is drilled straight through, the firing pin is traveling in an arc to go through the hole, and the firing pin will probably rub along the hole somewhere as it finds its way through.
In your case, there is a raised burr around the smaller diameter of the hole. This is caused because something is displacing the relatively soft metal of the frame. Probably the firing pin.
I just checked my one remaining Uberti Cattleman, and the hole is quite clean, without a raised burr.
Then I checked a couple of 2nd Gen Colts. The through hole on the Colts has a nice conic section that helps the firing pin find its way through the hole. One of the niceties of a Colt.
It appears to me your firing pin may be striking the hole in the frame. What I mean by that is the physical stop that prevents the hammer from moving any further forward should be the hammer itself striking the frame. Not the firing pin coming to a stop against the frame. There should be a tiny bit of leeway.
Try this. Cut a thin strip of paper. Insert the strip of paper into the slot in the frame above the firing pin hole and gently lower the hammer all the way. Then pull out the piece of paper. What happens? If there is some resistance to pulling out the strip of paper, then the hammer is bearing against it, as it should. If instead the strip of paper slides out easily, with no resistance, then that part of the hammer is not contacting the frame. Instead, the firing pin may be acting as the physical stop. Take a good look at the firing pin. Is the conical part of the pin a uniform color, or can you see a ring formed around the pin where the blue has been worn off by striking the frame.
Paper is around .003 or .004 thick. If you can find a piece of shim stock .001 thick, you can test it even further.
Bottom line is, I wouldn't worry about it too much. When you fire a cartridge, the firing pin will be cushioned slightly as it dents the primer, so it will be cushioned slightly just before it hits the frame.
If you can take your revolver apart, you can take a drill bit slightly smaller in diameter than the large diameter of the hole, and carefully remove the burr, by gently spinning the drill in your fingers. DO NOT USE A POWER DRILL!
Bottom line is, the firing pin should protrude from the frame a minimum of .045 and a maximum of .056. You can get a good eyeball of this by laying a drill bit of known diameter next to the firing pin as it protrudes through the frame. I suspect if that burr is allowed to build up enough, it may prevent the firing pin from striking a primer with the proper amount of protrusion to fire a primer every time.
If you remove the burr, don't go overboard. Check your firing pin projection first, before removing any metal.
Regarding the face of the hole on the other side, where it protrudes through the frame, I have found that with an Uberti, which lacks a pressed in hardened insert, the firing pin can drag a burr and build it up on the inside of the frame. This can eventually cause problems with clearance of live rounds. Here is the hole on an Uberti Cattleman that I had to do a little bit of surgery to, to remove a burr. It there is a raised burr in that area, your fingernail will detect it.
Colts have a hardened bushing pressed into the frame to prevent such a burr forming.