Yes, your processor should work with TurboTax Deluxe CD/Download.
I've checked on your processor compared to Pentium 4, and your processor is more recent than a Pentium 4. Assuming your computer meets all the minimum requirements listed here, you should not have any trouble: https://turbotax.intuit.com/personal-taxes/cd-download/deluxe.jsp
If you are concerned about any of the minimum requirements, you can also use TurboTax Online without installing anything on your computer.
