Assuming your range is stable (the target not moving nearer or farther away during shooting) and your gun has the accuracy you are claiming, then wind deflection and, for some bullet designs, dropping below the speed of sound before arriving at the target are your only concerns. Wind deflection and loss of velocity on the way to the target will vary inversely with the BC of your bullet, so if the bullet BC is high enough you will be fine, as any ballistic calculator can confirm one way or the other.
Since you didn't say what bullet you are using, those principles are all I can give you. If you detail the whole load (case, powder and charge weight, primer, and bullet) we may be able to provide other suggestions.