Same exact thing happened to my 02 X5. Replace the cables on both doors. I think they come with new handles. The Bowden cables collect water and freeze.

There has been many myths on this board to just lubricate or use antifreeze on them. They all don't work...tried them all. The cables are redesigned after 02 and do not to freeze.

I even called BMW for assistance because there is a TSB to change them...they told me to pound salt. The Mini coppers suffered the same problem.

Because of the problems with X5's, I still own 2, I went to Porsches.

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2002 X5 4.4i Sport Wheels
2014 X5 35i M Appearance & suspension package
1995 Porsche 993
1972 Porsche 914-6
2020 GLE 450 Twin Turbo
2019 Alfa Stelvio 500hp Quadrifogilo
Many motorcycles