I am not understanding why Billslugg is comparing kinetic energy instead of momentum.
Much of the asteroid's kinetic energy will be lost to heating of the materials, which is then radiated to space. Some of it might be turned into ejecta, which might push in a somewhat different direction from the impact direction, unless that happened to be straight "down". So, the kinetic energy is not going to be conserved in the Moon's orbital motion, anyway.
Assuming an "inelastic collision", the momentum of the asteroid would be added
as a vector (direction as well as speed time mass) to that of the Moon. So, depending on where it hit the Moon, it might
extremely slightly slow it down, speed it up or change its direction by an amount of speed determined by the ratio of their masses times the asteroid's speed of impact, which is a velocity change of only 5.6e-10 m/s that might go in various directions, depending on where the asteroid hit.
The Moon is currently averaging 986 m/s, [Bill's figure, which is not the same as Wiki's] so the change would be by only 5.8e-13 of the Moon's current velocity and might be plus or minus.
Without going into the orbital mechanics, the difference in the time that it takes the Moon to make one orbit of Earth could roughly change by 5.8e-13 x 29.53 days = 1.5e-6 seconds.
That slight of a change is simply not going to be noticeable on Earth, other than by extremely precise astronomical observations. Tides on Earth are not so regular, anyway. Winds and eddies in ocean currents change sea levels from place to place all of the time, compared to what they would be from purely astronomical influences. And the astronomical influences, including the tilts of the Earth's axis and the Moon's orbit relative to the plane of Earth's orbit around the Sun, plus the elliptical nature of the Moon's orbit and the Earth's orbit, combine in a manner that already produces net cycles with a period of about 18.6 years. See
https://www.coastalwiki.org/wiki/Long-period_lunar_tides. And, that cycle is not precisely repeating, either.
So, life on Earth is already adapted to much larger changes in the tides.