No, "hardworking" is not hyphenated.
The word desperate hyphenated
"Hardworking" is one word.
The word "self-confidence" is hyphenated.
Light-Headed is a hyphenated word.
The word "hardworking" can be spelt as a single word or as two words.
Left-handed is a hyphenated compound.
Both the full word and the hyphenated form are accepted.
"Field" is not hyphenated.
Yes it should be hyphenated.
No, "homework" shouldn't be hyphenated.
No it shouldn't be hyphenated.
No the word hardworking is an adjective not a noun. A noun form is hardworker.