It's hard to find the right words to express my sympathy so I am sending the biggest hug your way.
What you are going through is official termed as grief - is a natural response to loss, particularly to the loss of someone who has died. It is the emotional suffering one feels when someone the individual loves is taken away.
While the terms are often used interchangeably, bereavement refers to the state of loss, and grief is the reaction to that loss. A depressed person can feel grief which is not a mental health condition unless it becomes complicated.
You shouldn't be without support of some kind to manage the effects of the grief. Talking about grief with a friend or professional counselor can be of a real benefit.
A friend can be a real good listener and help you with the practical things you need at this time.
The counselor can help you work through the physical, cognitive, behavioral, social, cultural, spiritual and philosophical aspects.
Please remember this no "right way" to process this life event and no-one should tell you what to feel and for how long.