The most common and most likely answer to this crossword clue is the 6 plus 6 letter word KAMALA HARRIS
I've seen this crossword clue in Independent
K
A
M
A
L
A
H
A
R
R
I
S
More clues leading to the result KAMALA HARRIS
Buddy explains!

The straight part
We know that "elected female" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case elected female = kamala harris.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.