1098-T box 7 is checked on Tuition Statement but it's wrong. What do I put in Turbo Tax?

On the one hand, box 7 checked won't matter when you enter the 1098-T into the TurboTax program on the other hand, you need to understand what was paid and when. 

School years and calendar years often over-lap. 

The IRS is concerned with what was paid in 2020 for classes in 2020 and/or the first three months of 2021.

The school is saying that Box 1 includes payments for 2021 start date classes. It doesn't matter unless it wasn't really paid until 2021, in which case the scholarships in Box 5 could be wrong. 

I suggest you use your student school account statement to figure it out (or call the Financial Aid Office). 

Enter the 1098-T and use the "This is not what was paid" link under Box 1 to adjust the payment made to the school, and the screen that asks "Was any aid for a different year?'" to adjust the scholarship if needed.