Remitted (verb): to send (money) as a payment: to cancel or free someone from (a punishment, debt, etc.) (Merriam-Webster)
Found on Page I, Paragraph 3 of “A Rose for Emily”–>“Alive, Miss Emily had been a tradition, a duty, and a care; a sort of hereditary obligation upon the town, dating from that day in 1894 when Colonel Sartoris, the mayor–he who fathered the edict that no Negro woman should appear on the streets without an apron-remitted her taxes, the dispensation dating from the death of her father on into perpetuity.”
I believe the word in this quote means that Colonel Sartoris canceled Miss Emily’s tax payments because her father, including the entire Grierson family, was once seen as prestigious aristocrat family.
Please see my comment on the other glossary entry you posted from ” A Rose for Emily.” I don’t think you’ve read that passage accurately. I’ll try to address that in the discussion. You can edit your glossary entry as you have a clearer understanding of the characters and the reasons for their treatment of Miss Emily.