The Blower Heater Motor on our 2008 XKR froze. After looking at it, it was pretty rusty. I ordered a new assembly on Amazon (A-Premium HVAC Blower Heater Motor with Cage).
Though the packaging was not damaged the fan cage was cracked and could not be repaired. I also noted that the 12v connector was different than the one in the car. In the car it was a T connector, and it had a flat connector on the motor (Bosch motor.)
Looking on line it looks like all the motor assemblies have the flat connector.
Does anyone know of a blower assembly with the T connector, or do I have to rewire the connector on the car?

 

The oem replacement comes with an adapter connector.

 

You can buy the adapter separately from Jag. It cost me all of £1 last summer.In fact it cost 78 pence
part number T2R27883

I bought a replacement fan from eBay for a F Type as they are the same . It was from a low mileage model and there seemed to be plenty around but none for an XK.

send the Amazon one back and save some money
You might have or had the old duckbill problem. That’s why it’s rusty