The most common and most likely answer to this crossword clue is the 5 plus 5 letter word RANCH OWNER
R
A
N
C
H
O
W
N
E
R
Buddy explains!
The straight part
We know that "American farmer?" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case american farmer? = ranch owner.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.