How to handle exceptions in other threads

Newbie & Debugging Questions
#1

Let’s say I have a custom thread object,

public abstract class CustomThread extends Thread {
// ....

@Override
pubic void run(){
     // ...
     try{
             methodThatThrowsAnException ();
     catch (Throwable e){ handleException(e);
}

// ....

public abstract void handleException(Throwable e);

Would it be bad practice to have an interface for catching & handling exceptions back in the main thread?

public static void main(String[] args){
     Thread secondaryThread = new AnotherCustomThread(new IForeignCatcher(){
            catchThrowable(Thread t, Throwable e){ e.printStackTrace(); }
     } ); 
     
     secondaryThread.start();
     // ...
}

I’m still new to threads, someone let me know if I’m doing this completely wrong xD