Subject is plural - "Sports medicine Programs" and hence verb has to be plural "are". If you are finding it difficult to identify the subject, remove extra pieces from the sentence.. .. The sports medicine Programs (remove of and the modifier after comma).... are.... for international competition.
Since are is required, eliminate A and B.
C - programs are not geared to enhance their preparation (but are geared to prepare the atheleted)
D - is wordy .. and also enhancement and preparing are not parallel
E - plural verb is used, parallelism is maintained by using enhancing and preparing and hence the correct choice
I hope this helps!