How can I prevent unauthorized people from accessing my stats?
If you select the 'Password protected reports' option, you prevent unauthorized people from accessing your stats by clicking on your ShinyStat icon/counter.

Moreover, in the section of the reports "latest 15 visits", it is possible to visualize the IP addresses from the visitors only if such an option has been selected, in the contrary case, only "Xs" will appear instead of the IP addresses.