I have a single shot H&R (bolt action) .22 with a nominally 1lb trigger. I would have no problem taking it hunting. When I am carrying it (loaded), the safety is on and I am muzzle conscious.
My Stevens 416 target rifle has a trigger that is nominally two pounds (maybe just under). It is very crisp. Compared to your typical target rifle trigger, 2 lbs can be heavy. While not an optimum rifle for hunting (I could only see myself hunting with it in very limited stand-hunting circumstances), I wouldn't feel unsafe using it for that purpose.
My Baikal IZH-46 (Olympic style air pistol) has a trigger (less than) 500 grams. Around shots 50-60, you learns just how heavy each gram is. That said, the trigger was something that I needed to get used to--I did put a shot into the 1-ring, because I was a little careless while adjusting my hold on the grip.
My Slavia 631 has a nominally 8 oz trigger. At first, it felt light. After enough shots, I got used to it. While I don't have any intentions of hunting with this (air) rifle, I wouldn't feel unsafe hunting with it, assuming that it was being carried with the safety on.
A light trigger is a great thing. If you have the necessary finger control, it can help you to make shots that you wouldn''t be able to make otherwise. THEY ARE DANGEROUS WHEN YOU DON'T HAVE THE DISCIPLINE TO HANDLE IT.