Retirement tax questions

As long as everything is done directly between the banks, it is non-taxable and does not trigger the once-per-year rule.  If you take a withdrawal into your own bank account and use that to purchase the annuity, that will trigger the once-per-year rule (but it is still once per year per person, so you and your spouse could each do that one time.). But you should try to keep it electronic between the two plans.