There are all kinds of words not in the Bible. Trinity, not in the Bible, still people know what your are talking about when you say the word. There are all kinds of dictionary defs. I could have used that more clearly state what sodomy means. Since we're adults I didn't think we needed to break it down further.
Call it sodomy, homosexuality, effeminate, gay ... all are sin. Done, argument over. You can save your breath.
You wrote: "Sodomy is another Biblical word for homosexuality." Sodomy is
NOT a biblical word period! Trying to compare that to the theological teaching of "Trinity" does not match. I've never heard or read where anyone stated "Trinity is another Biblical word for...."
"sodomy (n.)
c. 1300, sodomie, "unnatural sexual relations," such as those customs imputed to the inhabitants of Biblical Sodom, especially between men but also with beasts, from Old French sodomie. Compare Late Latin peccatum Sodomiticum "anal sex," literally "the sin of Sodom," from Latin Sodoma. In Middle English also synne Sodomyke (early 14c.)."
"sodomite (n.)
late 14c., "one who practices sodomy," also "resident of biblical Sodom," from Old French Sodomite "inhabitant of Sodom; sodomite," also a general term of abuse, or directly from Late Latin Sodomita, from Greek Sodomitēs "inhabitant of Sodom" (see Sodom, also sodomy).
Related: Sodomitical (1540s), sodometrous (1540s), sodomike (Middle English). Old English had adjective sodomitisc (Coverdale has sodomitish). The alternative noun form sodomist is by 1891; sodomiter is attested 1520s. The King James Bible (1611) has fem. form sodomitesse in a marginal note to "whore" in Deuteronomy xxiii.17."
https://www.etymonline.com/search?q=sodomy
Notice, "sodomy" was coined c.1300.... it is NOT a biblical word, nor is "sodomite" and translations vary as to where the word with today's meaning fits.
Notice, the KJV has the marginal note "sodomitess"!