@Sophilina, sometimes these things appear to be worse than they are. Good hygiene is the answer. Yes, wear gardening gloves but still wash wash wash afterwards.
You can do anything you want to do in the future, just think about what you are doing and how you are doing it. Be cautious but not scared.
My dominant arm is my mastectomy side but nothing stops me in the garden except my arthritis which prevents me bending properly - and I have to admit it is not always gloved gardening but I do wash well after - I am 6 years on ....
All the best. Look forward to news of your new career !