Typically, Delta Airlines allows minor name corrections to be made without incurring a fee, as long as the changes do not involve a complete name change or a change to the gender of the passenger. These minor corrections may include fixing a misspelled name, adding or removing a middle name or initial, or updating a prefix or suffix.

If you need to make more substantial changes, such as correcting the entire name or changing the gender, you may be required to pay a fee and possibly provide supporting documentation, such as a marriage certificate or legal documentation for a name change.

To make any Delta Airlines name corrections or changes to your Delta Airlines ticket, it is recommended to contact Delta Airlines directly or consult their official website to understand the specific requirements, procedures, and any associated fees.

https://www.flyamericans.com/blog/delta-airlines-name-correction