You can e-file your 2023 return through October 15, 2024. You can mail a return anytime. You can’t email a return.
you can not email a return which is different than e-filing.
You said "email", but we're presuming that was a typo and that you meant "efile."
You didn't mention anything about your Federal return. Did you already prepare and efile a Federal return using TurboTax? You can efile a state return either at the same time as the Federal return, or it can be efiled after the Federal return was efiled first, as long as the efiled Federal return has been accepted.
So if you efiled your 2023 Federal return previously, and it was accepted, you can open up your return interview and efile the state return. If that's your situation, here's how: