Interestingly, in the American Southwest guns didn't really challenge bows until the introduction of the Colt revolver.
Even Kentucky long rifles which were very effective against infantry were pretty much worthless against mounted natives who could fire dozens of arrows a minute.
"It is common to deride early modern firearms as slow to load, inaccurate and undependable in wet weather. Indians had a more favourable opinion of these weapons, particularly of the flintlock muskets that became available at the beginning of the 1630s. ...
Flintlocks were still cumbersome. They required about 25 seconds to load, and were accurate only to about 100 yards. Yet Indians did not intend to use the weapon in open-field, pitched battles. Rather, they wanted flintlocks to fire on human or animal targets from ambush at close range. After firing, they would rush in with hand weapons. The manner in which Native peoples used guns is critical to understanding their demand for them."
Even Kentucky long rifles which were very effective against infantry were pretty much worthless against mounted natives who could fire dozens of arrows a minute.
This was the case up until about the 1850s.