Question

What is the connotation of the word short?

Answer 1

The associated or secondary meaning of a word or expression in addition to its explicit or primary meaning: A possible connotation of “home” is “a place of warmth, comfort, and affection.”. 

Answer 2

Well a connotation suggests emotion to a word.

so the word short could be used in different ways, some more insulting.

short could be referring to size
or if someone said "im $2 short"
that refers to having less of something you need.

so i hope maybe this ramble helps cx