The Elizabethan manor is said to have inspired Shakespeare's As You Like It.
The one remaining pharmacy says it recognises some patients have experienced longer waiting times.
Plans to build the site, which will include a hauliers yard, are approved by Shropshire Council.
There are currently grief cafes in Shrewsbury, Wem, Ludlow and Leegomery in Telford.
Infrastructure plans likely to be put on hold by Shropshire Council as it deals with a cash crisis.
People are being asked not to drive through flood water and avoid land near watercourses.
The comedian fondly recalls how turning on the lights in his hometown in 2019 went wrong.
Shropshire Council said it was talking to the landlord of the building to get it fixed.
Those behind the Shrewsbury Repair Cafe say it has exploded in popularity since beginning in 2017.