Is this a new watch that you just picked up?
Or is it a watch that you've owned for awhile and this just happened?
I'm trying to imagine the amount of load that you'd have to put on that link to shear the pin. 🙁
If you manipulate the link so that the center link is perpendicular to the outer links, can you see the corresponding holes for the missing pin on the inner portion of the outer links? If so, are they in fact holes, or do they have the remnant of the sheered pin still stuck inside them?
Theoretically a watchmaker should have the tools to separate the outer links from the inner links and replace the friction fit pin, and press the link back together to repair the bracelet. My concern would be that the outer links still have the friction fit portion of that pin still stuck inside of them and that a watchmaker would have to drill the remainder out and then use a custom size pin to replace it. Or....the force to sheer the pin in the first place was so great that the holes that accept the knurled portion of the pin are now oval'd out and no longer correctly grip on to that knurled end.