Woman caught in adultery is a bad example. Adultery is still a sin in the OT and NT; it is not okay in the NT. You are saying that marrying former spouse is an abomination in the OT, but not in the NT?
As is clearly seen, many types of food were an abomination prior to the Cross of Calvary, as is clearly seen,the abomination has been removed
Every creature is good for food now, received with thanksgiving
Enough said, it's yours
Leviticus 11:9-12KJV
9 These shall ye eat of all that are in the waters: whatsoever hath fins and scales in the waters, in the seas, and in the rivers, them shall ye eat.
10 And all that have not fins and scales in the seas, and in the rivers, of all that move in the waters, and of any living thing which is in the waters, they shall be an abomination unto you:
11 They shall be even an abomination unto you; ye shall not eat of their flesh, but ye shall have their carcases in abomination.
12 Whatsoever hath no fins nor scales in the waters, that shall be an abomination unto you.
1 Timothy 4:3-5KJV
3 Forbidding to marry, and commanding to abstain from meats, which God hath created to be received with thanksgiving of them which believe and know the truth.
4 For every creature of God is good, and nothing to be refused, if it be received with thanksgiving:
5 For it is sanctified by the word of God and prayer.
Acts 11:4-10KJV
4 But Peter rehearsed the matter from the beginning, and expounded it by order unto them, saying,
5 I was in the city of Joppa praying: and in a trance I saw a vision, A certain vessel descend, as it had been a great sheet, let down from heaven by four corners; and it came even to me:
6 Upon the which when I had fastened mine eyes, I considered, and saw fourfooted beasts of the earth, and wild beasts, and creeping things, and fowls of the air.
7 And I heard a voice saying unto me, Arise, Peter; slay and eat.
8 But I said, Not so, Lord: for nothing common or unclean hath at any time entered into my mouth.
9 But the voice answered me again from heaven, What God hath cleansed, that call not thou common.
10 And this was done three times: and all were drawn up again into heaven.