Learn to shoot with both hands and become familiar with the functionality of the platform when using it with either hand.
There are many parts you can add to your rifle to make it south paw friendly (I'm ambidextrous by choice, but am south paw dominant and have to do this to all my guns).
Practice, practice, practice. At home do quick drills to get comfortable with aiming in slow and fast fashion as well as manipulating your platform from both sides in all stances, rounding corners, reloading, transfer of shoulder, etc.
Once you practice this for a little while and get to put the practice to use in gameplay you'll become more comfortable with it.
Guardians of Asgaard
"The judge meeting is arranged for terrorist." - G&P Laser Product
Primary - Z-Custom VFC ZTW
LifeLine - TM Glock G18C