Al-jawab billahi at-taufeeq (the answer with Allah's guidance)
The Qibla is from amongst the symbols of Islam, which a person should show respect to. Facing one's feet towards Qibla intentionally should be avoided.
Allah Taala says,"And whosoever honours the Symbols of All�h, then it is truly from the piety of the heart." ( Surah: 22, Ayah: 32)
The feet should not face the direction of the ka�bah whilst sleeping. In fact, it is not permissible to face the feet towards the ka�bah whether a person is sleeping or awake. (Shaami vol.1 pg.655; HM Saeed)