Step 1: About the publication.
The newspaper ‘Independence’ was published by Annie Besant to spread nationalist ideas in India during the freedom struggle.
Step 2: Options analysis.
(A) Annie Besant: Correct.
(B) Motilal Nehru: Published ‘Independent’, not ‘Independence’.
(C) Gandhiji: Published ‘Young India’, ‘Harijan’, ‘Indian Opinion’.
(D) Martin Luther: Religious reformer, unrelated.
Step 3: Conclusion.
Thus, ‘Independence’ was published by Annie Besant.