The correct option is
C Astrology
The word, 'astrology' means 'the study of the movements and relative positions of celestial bodies interpreted as having an influence on human affairs and the natural world'. Hence, option C is correct.
The word, 'astronomy' means 'the branch of science which deals with celestial objects, space, and the physical universe as a whole'. The word, 'zoology' means 'the scientific study of the behaviour, structure and distribution of animals'. The word, 'biology' means 'the study of living organisms'.
As the meanings of the above three words, do not mean the same as 'study of the influence of stars on human affairs', options A, B and D are incorrect.