The fingerprint id icon isn't in my system preferences

Follow these steps, testing after each step:

• Software Update.
• Try Safe Mode.
• Use Apple Diagnostics to test your Mac.

If that didn’t work, then I recommend service.

Service Checklist:

• Mac service pricing.
• Check AppleCare Coverage.
• Get your Mac ready for service.

Click ▶︎ Start a Service Request. ⚛️

Need more help?

• Call Apple Support at 1-800-APLCARE. 📞
• International Support. 🌐
• Contact Apple Support. 📝
• Chat using Messages. 💬

Click ▶︎ Check Repair Status. 🔧

Start with this of M1 Mac...

Start up a Mac with Apple silicon in safe mode

On your Mac, choose Apple menu  > Shut Down.

After your Mac shuts down, wait 10 seconds.

Press and hold the power button on your Mac until the startup options window appears showing available startup disks and Options.

Select a startup disk.

Press and hold the Shift key, click Continue in Safe Mode, then release the Shift key.

To leave safe mode, restart your Mac normally, without pressing and holding any keys during startup.

You didn't mention which Mac you own but Touch ID only appears on M1 & M2 Macs.

Mac models with the Apple T2 Security Chip

And which one is this computer