Hey there cindy0101,
Thanks for asking the Apple Support Communities for help with your camera on the Lock Screen.
Since you are currently only on iOS 16.5, please update to iOS 16.5.1: Update your iPhone or iPad - Apple Support
Next, check your settings. Access features from the iPhone Lock Screen - Apple Support
What actually happens when you swipe left on your screen? Does the camera not open at all, or it opens, but you can't take photos?
Also, since your iPhone 13 has Face ID, what happens when you swipe down from the top-right corner and open Control Center? Does it not open, or does it open, but you can't tap the Flashlight to turn it on? Access features from the iPhone Lock Screen - Apple Support
"Open Control Center: Swipe down from the top-right corner (on an iPhone with Face ID)"
Cheers!