I faced this issue "Axis Bank Credit Card Address Change" and solved it. Let me elaborate it:
In 2020, I took Axis Flipkart CC, and I put Jadavpur University Address as my work address.
Cut to January 2022, I applied for Axis Ace CC, and My Axis Ace card got dispatched to my University address, but I passed out from university already... I could still take in-hand delivery from Bluedart, but my university area Bluedart guys are too stubborn since I didn't put any department name on my address, they marked it undelivered without calling me. (I visited their office, and they said they can't give me there, and they also can't deliver to the university address since no department is mentioned, "Do you own Jadavpur University? Is that your Home?" They said to me... and after 7 days of holding it in their hub, they sent it back to Mumbai.)
I had to update my work address first before it re-dispatches. So, I visited Axis Bank Jadavpur Branch the same day (it is nearby our university), and gave the branch guys this story:
I used to work at JU as a JRF Scholar, so my Work Address was set to JU. Now I am no longer with them, but since my address was not updated with Axis, they sent my Ace CC to University Address. I am currently not employed anywhere. Kindly update my Work Address as per my Aadhaar (which was my home address), so that next time it is shipped to my residential address.
Good thing is that I had Axis Bank Account (not that branch, but a nearby branch in Kolkata), so it was easier to convince them. They took my Aadhaar Card, xeroxed it, and the woman there updated my Work Address and Communication Address as per Aadhaar. It was updated within 1 day.
I had to wait for 7 days for Bluedart to send the parcel back to Mumbai (they won't redirect it to my home without Axis Bank instructions, and Axis Bank said they can only re-ship once it gets back to them), and immediately I contacted Axis Bank for re-shipment. They took the request. The next day it shipped from Mumbai again, the day after I got Ace credit card at my home address.
I suggest you all who are facing the same issue to please visit your nearest Axis Bank branch and give some story, and it will be updated within 1 day.