not sure why wearing a coat would matter lol... but I would think you are fine, use common sense and don't try and lift an excessive amount. Honestly, there are lots of women who have to continue on with chores and work during pregnancy- I frequently stack and haul wood and lots of others have to take care of animals, etc. I'm sure you will be fine! best wishes!
You will be fine as long as your wearing a coat to keep belly warm and don't lift to much