The code-4 Form 1099-R indicates that the IRA that you inherited was distributed to you. A non-spouse beneficiary is not permitted to then deposit those funds into an inherited IRA as a rollover, which is why TurboTax does not offer the opportunity to indicate that it was rolled over.
If the distribution was paid to you as suggested by the Form 1099-R, the deposit into the new account is an excess contribution subject to penalty unless you obtain a return of contribution before the due date of your tax return. Even without getting the corrective distribution to avoid the penalty, the distribution is taxable to you.
If instead the funds were paid from your mother's IRA directly to the new inherited IRA and never paid to you personally, this would be a proper nonreportable trustee-to-trustee transfer and the Form 1099-R should not have been issued. In this case you would need to obtain a corrected code-4 Form 1099-R showing that $0 was distributed.