There is no set time for when they will accept it. Some states start processing
e-filed returns at the same time as the IRS, while others don't start
processing until sometime later. The IRS and your state operate independently
of each other and the time frame in which each is accepted and processed can vary.
Please see below for more
information on tracking the progress of New Mexico return. https://ttlc.intuit.com/replies/4779889