grammar - Does the tense in that clause need to agree with the main clause?

I don't know if the title of this question is accurate or not. My vacabulary of grammar is very limited. May you could understand me by the following example:

1. She told me that the earth is moving around the sun.




2. She told me that the earth was moving around the sun.

Which one is correct? Should the tense in that clause always agree with the tense in main clause?