Where does “odi” come from?

odi (Latin) comes from Proto-Italic ōdai, from Proto-Indo-European h₃e-h₃ód-e ~ h₃e-h₃d-ḗr, from Proto-Indo-European h₃ed- — to smell, stink; to hate; to bite.

Ancestry of “odi”, step by step

Step	Language	Word	Meaning
1	Proto-Italic	ōdai	to hate
2	Proto-Indo-European	h₃e-h₃ód-e ~ h₃e-h₃d-ḗr	—
3	Proto-Indo-European	h₃ed-	to smell, stink; to hate; to bite

Every word from Proto-Indo-European h₃ed- →

odi — Etymology, Origin & Word History | Etymology Explorer