Did you have an X-ray to see what damage might be there?
It probably won't get worse though. It might. How long is a piece of string!
Oesteo arthritis is normal, through wear and tear, throughout the body - particularly on weight bearing joints as well as those with great activity: the gaps between joints get narrow so rub together = aches and pains.
OK - hot and cold therapy can help: prepare a bowl of hot and a bowl of cold water on the table. Putting the hands into alternate bowls and leaving them to relax for 10 mins each day then dry with a warm towel. Some people find warmed oil helpful. Same process, warm oil then into cold water.
Keep the fingers moving as much as possible. Have you played the piano? or watched someone? so keep the fingers and wrists moving gently as though you are at the keyboard. Not as at a typewriter, but a piano.
Make sure that you have a good pain relief in your cabinet. If you are going to do sewing or weeding for example, either take a dose 30 mins. prior to working or if required, after activity. Make sure that you have a good gloves which cover the wrists. Also make sure that your neck is kept warm in cold weather as the brown fat across the shoulders controls how cold the arms/wrists/hands become. There are lots of neoprene gloves [look at walking shops, fishing outlets, golfing shops]. I can't work in mittens but of course, if fingers are closed together in a mitten, they will keep each other warm.
Keep feet warm. To lessen the chance that the body will tense in cold weather which can make aching joints worse.
Gentle massage of joints can ease symptoms.