How can I change the EditText text without triggering the Text Watcher?

You could unregister the watcher, and then re-register it.

Alternatively, you could set a flag so that your watcher knows when you have just changed the text yourself (and therefore should ignore it).

Short answer

You can check which View currently has the focus to distinguish between user and program triggered events.

EditText myEditText = (EditText) findViewById(R.id.myEditText);

myEditText.addTextChangedListener(new TextWatcher() {

    @Override
    public void onTextChanged(CharSequence s, int start, int before, int count) {
        if (myEditText.hasFocus()) {
            // is only executed if the EditText was directly changed by the user
        }
    }

    //...
});

Long answer

As an addition to the short answer: In case myEditText already has the focus when you programmatically change the text you should call clearFocus(), then you call setText(...) and after you you re-request the focus. It would be a good idea to put that in a utility function:

void updateText(EditText editText, String text) {
    boolean focussed = editText.hasFocus();
    if (focussed) {
        editText.clearFocus();
    }
    editText.setText(text);
    if (focussed) {
        editText.requestFocus();
    }
}

For Kotlin:

Since Kotlin supports extension functions your utility function could look like this:

fun EditText.updateText(text: String) {
    val focussed = hasFocus()
    if (focussed) {
        clearFocus()
    }
    setText(text)
    if (focussed) {
        requestFocus()
    }
}