Try using these ways to fix this issue.
1. Enable Wake on Wrist Raise mode on your Apple Watch. Go to Settings >>> Scroll down and click on Display & Brightness >>> Turn on Wake on Wrist Raise. It allows your Apple Watch's screen to wake up whenever you raise your wrist.
2. Wrist Detection is essential in the Double Tap feature on your Apple Watch. When you raise your wrist, Apple Watch's Waist Detection calls the screen.
3. If your Apple Watch still needs to be upgraded to the latest version of watchOS, you should update your watchOS. It should fix any glitches related to double tap not working on your Apple Watch.
4. You might wonder to hear this, but tattoos may cause difficulties for your Apple Watch. Apple Watch's capacitive touch sensors may face problems detecting touches through tattooed skin. You should ensure your tattooed wrist does not hinder the capacitive touch sensors of the Apple Watch.