Far from being happy, my father is extremely angry.
Literal
Father [topic-は] is-happy [far from-どころか], very is-angry.
~どころか is a powerful emphatic denial: 'far from X, actually Y,' where Y is the opposite or far beyond X. Useful for correcting someone's assumption. The contrast between 喜んでいる (being happy) and 怒っている (being angry) makes the reversal vivid.