The original game at the Greenhous Meadow on Tuesday night was ended early when a fire started in the electric control room of the East Stand after 66 minutes.
The match will now take place on Tuesday, April 17 and will kick off at 7.45pm.
There will be reduced admission prices for tickets of £10 for adults and £5 for concessions.
"We have given the pricing structure for this game a great deal of thought," Shrewsbury secretary Jayne Bebb told her club's official website.
"What happened on Tuesday night was very unfortunate given the circumstances and we have moved quickly to arrange a new date for this important match."