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Of course, God has a plan and purpose for your life. In you are a Christian it means that you are God's child. What father doesn't have hopes for his children.
I am certainly not saying that everything will be easy, far from it, but God's promise is that He will be in it with you.
Many people have had bad or none existent relationships with their earthly father. This, unfortunately, makes accepting God as a loving Father very difficult for them.
My relationship with my own father was very awkward and never got fully reconciled. It's taken me many years to get to this point.