You can read similar posts on this & other forums about the same situation. Many owners will take a video of their car at drop-off to document the car's pre-service condition. I've had work performed there &, thankfully, not had any issues.
It's a pain if you don't have use of your car, but give them a second chance to refinish the wheel to your satisfaction, and if the repair is still obvious perhaps she will reconsider. While it could be outdated, according to their website, she is the Warranty Manager. You could escalate this to her boss, Mike Salins, the service manager. Good luck!
https://www.bmwofsterling.com/service---parts-staff.htm
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2015 BMW 228i in EstorilBlau II Metallic / Terra Dakota Leather - 6-speed manual, M Sport Package, Cold Weather Package, Lighting Package, Premium Package, Harman Kardon premium sound, Anti-theft alarm system, Blue Metallic Matt Accent Moldings, Aluminum Hexagon Interior Strips, Anthracite Headlining