Correct Answer: She said that however hard it rained, she had to go to work.

Solution : The second option is the correct answer.

Narration Conversion:

• The reporting verb said remains unchanged, as it is followed by a conjunction and the reported speech.
• That is used to introduce the reported clause.
• The first-person pronoun I changes to the third-person pronoun she.
• The simple present tense rains changes to the simple past tense rained. The present tense have to changes to the past tense had to in reported speech.

Therefore, the correct sentence is: She said that however hard it rained, she had to go to work.