It sounds like you already filed for H4 to F1 status change.
She can maintain H4/F1 and TPS at the background as long as she is not voiding H4/F1 status.
My wife didn't care about H4 (didn't even file for extension after filing TPS). As long as I am maintaining my H1 she can come to H4 anytime if TPS ends.

Thanks
~Not a lawyer