If there is sluggish in gallbladder , is there any haram in deley of opreation ?

Sluggish gall bladde: This is a hypotonic gall bladder. Having any sludge in the gall bladder is bad as it sets up gall bladder inflammation. I would not delay any operation as its usually worse to have the surgery if its inflammed.

Not likely: I assume that "sluggish gallbladder" has been confirmed by proper testing ((hida scan). If there are no gallstones then there would be no concerns of delaying surgery, as long as you are able to eat alright without bad pain or recurrent vomiting. If you do have gallstones, temporarily delaying surgery would be alright if you are feeling well, but would not wait too long.

Possibly: If sluggish gallbladder you mean that the gallbladder is delayed in emptying on imaging test like hida scan and you have symptoms e.g. Abdominal pain with eating, that suggests chronic inflammation then waiting may be associated with progressive increase in frequency and severity of such symptoms and small risk of complicated gallbladder disease. Delaying surgery probably not high risk but might b.