The most common and most likely answer to this crossword clue is the 7 plus 8 letter word EXALTED POSITION
E
X
A
L
T
E
D
P
O
S
I
T
I
O
N
Buddy explains!
The straight part
We know that "Trump’s perception of his presidential standing" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case trump’s perception of his presidential standing = exalted position.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.