1. Look at your radar.
2. Back peddle.
3. Use a sidearm or fusion.
4. Avoid being in tight spaces.
5. Land your shots when he or she is rushing.
6. Utilize the grenades given to you.
7. Get good.
One or more of these could help you in your fight against shotguns. They don't need to follow a specific order either. And remember. No matter how many times they nerf shotguns. You will still be trash.
Have a nice day.
Edit: Apparently some of you think a shotgun should NEVER kill you. Well hate to break it to you, but as long as shotguns can one shot, people will rush with them. Meaning you guys will keep crying. 8 nerfs and you guys are still crying. If that isn't enough proof that you guys will endlessly whine then idk what is.
Edit 2:
https://youtu.be/WrsHtLWv8A0
Here is a quick example of dealing with a shotgun.
https://youtu.be/6kdSBIsn36k
Here is a quick example of me letting someone sneak up.
It's all in awareness...
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7 was just rude and 4 is a real pain and beyond limiting with Destiny's map design. Otherwise not a bad list.