[See my follow-up post below this one.]
This cannot be treated as a QCD for 2022. To be a QCD for 2022 it must otherwise qualify to be treated as a charitable contribution for 2022. Because is was not delivered to the charity before the end of 2022, it cannot be treated as a charitable contribution for 2022. See When To Deduct in IRS Pub 526: https://www.irs.gov/publications/p526#en_US_2021_publink1000229790
If this is an IRA with check-writing privileges and you wrote the check, this will not be a 2022 QCD but will instead be a 2023 QCD. The IRA custodian will treat it as a 2023 distribution because the check will be processed in 2023.
If the check was produced by your IRA custodian, payable to the charity, given to you to be forwarded to the charity and reported on a 2022 Form 1099-R, it's not a QCD for either 2022 or for 2023. It would instead be a non-QCD distribution and a regular charitable donation reportable on your 2023 tax return.
