1
general::
Phrase(s): at odds (with someone) [and] at odds over something
in opposition to someone; at loggerheads (with someone). • Mary is always at odds with her father about how late she can stay out. • John and his father are always at odds over what to watch on TV.
McGrawhill's American Idioms And Phrasal Verbs
2
general::
In disagreement, opposed. For example, It is only natural for the young and old to be at odds over money matters. This idiom uses odds in the sense of "a condition of being unequal or different," and transfers it to a difference of opinion, or quarrel. [Late 1500s]
American Heritage Idioms