Wiping the face with the hands after making Du`a is not prescribed in Islam, because the Hadiths that have been narrated concerning that are inauthentic.

This is how to make du’a: 1. Believing in Tawhid. 2. Sincerity towards Allah Alone in making du’a. 3. Ask of Allah by His most beautiful names. 4. Praising Allah as He deserves. 5. Sending blessings upon the Prophet. 6. Facing the qiblah. 7. Raising the hands. 8. Asking frequently. 9. Having certain faith that Allah will respond. 10. Saying du’a three times. 11. Ensuring that one’s food and clothing are good/lawful. 12. Saying du’a silently.

Among the times when du`a is accepted are the following: 1. Laylat al-Qadar 2. In the depths of the night 3. Following the prescribed prayers 4. Between the adhan and the iqamah 5. When the call for the prescribed prayers is given 6. When rain falls 7. At a certain time of the night 8. A certain time on Friday 9. When drinking Zamzam water 10. When prostrating 11. When hearing the crowing of a rooster 12. Du`a of one who is sick