The grammatically correct sentence would be C.
Lena avoids driving at night because it is dangerous.
The rest are grammatically incorrect as follows. :)
Drive, is used more for future tense in general.
To drive, is an infinitive which when defining that we can determine is not needed in the sentence.
Drove, is past tense and our sentence is present tense.
Cutting, is not only present tense, the correct tense, an action 'ing' word but it is also a gerund which completes the sentence accurately.
Hope this helped! If you need anymore help, have any other questions or need further explanation just let me know!! :)