Meanings of cast an aspersion in English

He did not like that text; it seemed to cast an aspersion on himself.

Their men he refused to release, which refusal both Treves and Mayence accepted with bad grace, saying the withholding cast an aspersion on their honour.

You are wrong; the lover who suspects her casts an aspersion on her entire life.

"You surely don't mean to cast an aspersion upon your own daughter?" I said, flushing with indignation.