Display Temperature with LCD and an On/Off Switch

Hello,
I want to display the Temperature and the Humidity on an LCD Display. I managed that. Now I want to implement a Button, that turns On or Off the LCD screen. My problem is, that I have to press the button on a specific time for the Screen to turn off. Can I implement a permanent check in my Code, so if I press the button it will detect that immeadetly, an turn the Screen On or Off.
My Code is a modified Version of a example from the DHT library.

// DHT Temperature & Humidity Sensor
// Unified Sensor Library Example
// Written by Tony DiCola for Adafruit Industries
// Released under an MIT license.

// REQUIRES the following Arduino libraries:
// - DHT Sensor Library: https://github.com/adafruit/DHT-sensor-library
// - Adafruit Unified Sensor Lib: https://github.com/adafruit/Adafruit_Sensor

#include <Adafruit_Sensor.h>
#include <DHT.h>
#include <DHT_U.h>
#include <Wire.h>
#include <LiquidCrystal_I2C.h>
LiquidCrystal_I2C lcd(0x27,16,2);

#define DHTPIN 2     // Digital pin connected to the DHT sensor 
// Feather HUZZAH ESP8266 note: use pins 3, 4, 5, 12, 13 or 14 --
// Pin 15 can work but DHT must be disconnected during program upload.

// Uncomment the type of sensor in use:
#define DHTTYPE    DHT11     // DHT 11
//#define DHTTYPE    DHT22     // DHT 22 (AM2302)
//#define DHTTYPE    DHT21     // DHT 21 (AM2301)

// See guide for details on sensor wiring and usage:
//   https://learn.adafruit.com/dht/overview

DHT_Unified dht(DHTPIN, DHTTYPE);

uint32_t delayMS;
  bool AnAus=0;
void setup() {
  pinMode(3, INPUT_PULLUP);
  Serial.begin(9600);
  // Initialize device.
  dht.begin();
  Serial.println(F("DHTxx Unified Sensor Example"));
  // Print temperature sensor details.
  sensor_t sensor;
  dht.temperature().getSensor(&sensor);
  Serial.println(F("------------------------------------"));
  Serial.println(F("Temperature Sensor"));
  Serial.print  (F("Sensor Type: ")); Serial.println(sensor.name);
  Serial.print  (F("Driver Ver:  ")); Serial.println(sensor.version);
  Serial.print  (F("Unique ID:   ")); Serial.println(sensor.sensor_id);
  Serial.print  (F("Max Value:   ")); Serial.print(sensor.max_value); Serial.println(F("°C"));
  Serial.print  (F("Min Value:   ")); Serial.print(sensor.min_value); Serial.println(F("°C"));
  Serial.print  (F("Resolution:  ")); Serial.print(sensor.resolution); Serial.println(F("°C"));
  Serial.println(F("------------------------------------"));
  // Print humidity sensor details.
  dht.humidity().getSensor(&sensor);
  Serial.println(F("Humidity Sensor"));
  Serial.print  (F("Sensor Type: ")); Serial.println(sensor.name);
  Serial.print  (F("Driver Ver:  ")); Serial.println(sensor.version);
  Serial.print  (F("Unique ID:   ")); Serial.println(sensor.sensor_id);
  Serial.print  (F("Max Value:   ")); Serial.print(sensor.max_value); Serial.println(F("%"));
  Serial.print  (F("Min Value:   ")); Serial.print(sensor.min_value); Serial.println(F("%"));
  Serial.print  (F("Resolution:  ")); Serial.print(sensor.resolution); Serial.println(F("%"));
  Serial.println(F("------------------------------------"));
  // Set delay between sensor readings based on sensor details.
  delayMS = sensor.min_delay / 1000;


  lcd.begin();
  lcd.backlight();
  lcd.home();
  lcd.print("Temperatur und");
  lcd.setCursor(0,1);
  lcd.print("Feuchtigkeit");
  delay(2000);
  lcd.clear();

}

void loop() {
  while(AnAus==0){
    lcd.noBacklight();
    lcd.clear();
    if(digitalRead(3)==1){
      AnAus=!AnAus;
    }
  }
  while(AnAus==1){
    if(digitalRead(3)==1){
      AnAus=!AnAus;
    }
    lcd.backlight();
  // Get temperature event and print its value.
  sensors_event_t event;
  dht.temperature().getEvent(&event);
  if (isnan(event.temperature)) {
    Serial.println(F("Error reading temperature!"));
  }
  else {
    Serial.print(F("Temperature: "));
    Serial.print(event.temperature);
    Serial.println(F("°C"));
    lcd.setCursor(0,0);
    lcd.print("Temperatur:");
    lcd.setCursor(0,1);
    lcd.print(event.temperature);
    lcd.print(" C");
    delay(3000);
    lcd.clear();

  }
  // Get humidity event and print its value.
  dht.humidity().getEvent(&event);
  if (isnan(event.relative_humidity)) {
    Serial.println(F("Error reading humidity!"));
  }
  else {
    Serial.print(F("Humidity: "));
    Serial.print(event.relative_humidity);
    Serial.println(F("%"));
    lcd.setCursor(0,0);
    lcd.print("Feuchtigkeit:");
    lcd.setCursor(0,1);
    lcd.print(event.relative_humidity);
    lcd.print("%");
    delay(3000);
    lcd.clear();
    
  }
  Serial.print("Status von AnAus: ");
  Serial.println(AnAus);
  Serial.print("Status von 3:");
  Serial.println(digitalRead(3));
  }
  
 

  
}

If you get rid of the delays, you'll find your code is much more responsive to switch operations.

Tell us what this does?
delay(3000);