The correct answer is C. is writing.
The sentence is in the present continuous tense, which is used to describe actions that are happening at the moment of speaking. The other options are all in the past tense, which is not appropriate for this sentence.
A. write is in the simple present tense, which is used to describe actions that happen regularly or habitually.
B. wrote is in the simple past tense, which is used to describe actions that happened at a specific time in the past.
D. written is the past participle of the verb write, which is used to form the perfect tenses and the passive voice.