Given how he asked for permission to withdraw uncontested to support the Home Army against the SS, that would be extremely improbable.
I would imagine if the Allies intact he would conduct a fighting withdrawal as best he could and then support the Home Army against the SS.
I think the Western Allies would want to adopt a "wait and see" policy at this stage. In France they have only recently wound up two magor offensives, Operations Verity and Slingshot. Given this they won't want to embark on a new offensive so soon considering the hard fighting and heavy Allied casulties. Plus the weather will be worsening. While the Allies build up for a new offensive in France they can observe events in Germany.
Rommel's position however is a difficult one pending the outcome of the Civil War. If the Allies mount an offensive he will have difficult choices of his own to make. For the time being he is safe enough