abomination, abominable

Definition:

The term "abomination" is used to refer to something that causes disgust or extreme dislike.

The Egyptians considered the Hebrew people to be an "abomination." This means that the Egyptians disliked the Hebrews and didn't want to associate with them or be near them.
Some of the things that the Bible calls "an abomination to Yahweh" include lying, pride, sacrificing humans, worship of idols, murder, and sexual sins such as adultery and homosexual acts.
In teaching his disciples about the end times, Jesus referred to a prophecy by the prophet Daniel about an "abomination of desolation" that would be set up as a rebellion against God, defiling his place of worship.

The term "abomination" could also be translated by "something God hates" or "something disgusting" or "disgusting practice" or "very evil action."
Depending on the context, ways to translate the phrase "is an abomination to" could include "is greatly hated by" or "is disgusting to" or "is totally unacceptable to" or "causes deep disgust."
The phrase "abomination of desolation" could be translated as "defiling object that causes people to be greatly harmed" or "disgusting thing that causes great sorrow."