
Sorry to hear your dog had distemper. It used to be common in the UK until the introduction of routine vaccination of dogs was introduced in the 1950s, and now it's very unusual (though still about). I've looked it up in my copy of "Veterinary Notes for Dog Owners" and it says:
"The most serious sign is the development of 'fits'. In a mild fit, the dog twitches its eyes, champs its jaws and salivates slightly. In the most severe type of fit, a full epileptiform convulsion, the dog falls over, makes wild running movements with its legs, champs its jaws and salivates profusely; it may urinate and pass faeces. Recovery from such a fit takes some time and the most severely affected dogs will have repeated convulsions.
"Another nervous effect is the development of 'chorea' - a rhythmic twitch or spasm in a group of muscles (often on the head or legs). Chorea is usually permanent and animals which otherwise recover fully may be left with a lifelong twitch."
I'm afraid your dog's tremor is likely to be permanent. Sorry.