Hebrew: Shekets/shakats/shikuts
English: Something detestable/abominable, to detest, to make detestable
Context: Non-kosher animals of all kinds are to be considered detestable to you. Things that are shekets are also tamay (from a root word meaning hidden, hence walled off, usually translated as unclean, defiled, or impure). Eating non-kosher swarming things (presumably all kinds of insects except a few approved locusts) makes you unclean/tamay.

Hebrew: Toaybah
English: Disgusting, abominable
Context: Idols, idolatry, idolaters, sorcery, witchcraft, copying pagan worship, homosexuality, bestiality, wife swapping, and using unjust weights are all toaybah to God and the land. Eating with Hebrews and sacrificing sheep are toaybah to Egyptians.

There is definitely a difference between the two words, but it seems to be lost on the English translators. The major difference that I can see is that “shekets” is used when God commands us to hold a thing to be detestable, like trying to train a child not to eat something he found on the ground. It’s not that the parent is repulsed by the child eating it so much as he needs to teach the child to be repulsed for himself. On the other hand, if something is “toaybah,” then God doesn’t want us to do it for his sake, because he finds it repulsive or because the land itself rebels against it.

With that perspective, it seems perfectly reasonable to say that God told us not to eat those animals because it’s bad for us to do so. Whether it’s bad physically or spiritually or both is another question. The last option gets my vote.