House could claim that he was merely trying to return Cuddy's brush and then his not fully healed right leg failed him and he accidentally blew through her house. He was in shock (or concussed) and managed to remember to hand her the brush before wandering off in a mental fog. A good lawyer could get him off with only a fine or suspended jail time sentence. Cuddy seemed totally fed up, but she may not press charges just to be able to leave the area unencumbered. A trial would require her presence and she'd want to avoid facing House again. Then he has to face a new hospital boss who won't cut House any slack and would be his nemesis. OR it could be Cameron who would be just as bad as Cuddy in trusting him to know what he's doing.
Such excuses would be extraordinarily lame and unbelievable nor would it completely get him off as it could be argued he shouldn't be driving when his "driving leg" was injured and while under the influence of narcotics.
I dunno. Stupid shit like that happens all the time in our "justice" system.
Like with another judge when he pointed out his clubbed fingers and implanted the history-of-heart-disease "thought-bomb" in the judge's head, I could easily see him getting out of this with the right level of well-placed manipulation.