Questions you may be asking

Relief

My father was sick for so long, and I was his caregiver for the last two years. I feel guilty because I feel relieved that he finally died. 
There is a name for what you are experiencing – dual relief in that you and your dad are now both released from the burden of his illness. Guilt comes in because no one admits to such relief, thinking it is a betrayal. You have every right to feel both your grief and your relief.