I found the part I need on Amazon.
99 dollars and it's already been shipped.
It may or may not improve anything.
Either way, where I live it gets so damn hot, that
parts that don't do well in the heat fail regularly.

It's not much of an expense to swap out for preventative maintenance.
I pulled the cowling screen and popped off the electrical cover.
I found the module and it looks easy to change.

I am getting a whirring noise and need to investigate the belt drive system.
It's a pulley, or alternator or something there that spins.

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2003 4.6is X5
2003 525it
2003 E53 X5 Standard shift