The accuracy you've observed from your rifle and it's ammunition is certainly sufficient to inspire confidence in both. The question then is, whether you're confident in yourself to make a decisive hit on a big game animal, under real world conditions. This means shooting at a target of approximate size with no well defined aiming point at an estimated range, unless you have time to use that laser range finder, under conditions of variable light and contrasting background. It means knowing how to compensate for wind, maybe steep upward or downward target angles, or perhaps having to shoot when you're out of breath. It always means shooting against the clock, because a live target, even when undisturbed, seldom stays motionless for very long.
You'll need to work on shooting from supported and unsupported field positions. You might find that you can't shoot from a steady low position due to intervening vegetation or terrain, and are forced to shoot from a higher position. Once you're in the higher position, the wind might buffer you so much you can't hold, and you're to recognize the shot has to be passed up. Fire pairs, cycling the action as quickly as you can while the rifle is at your shoulder, the point is less how closely the two rounds hit, although closer is better, and more how closely they come to your intended point of impact. Two rounds that hit the same hole aren't worth much if they land a foot from your intended point of impact because you failed to take into account the effects of range, wind, and target angle. This isn't meant to diminish the accomplishments you've made with your rifle, just to let you know that there's more to shooting than those pleasing groups, made on a warm sunny day, at a stationary target, across a manicured range.