system
A chat on subreddit /r/NoStupidQuestions
human
if you have the time, i would try staying outside for a while after you set the food out, maybe by your door, and seeing if the cat becomes more comfortable with the situation. if eventually so, try progressively standing closer to where you set the food. 

just spitballing here, i have 0 experience in befriending stray cats :P
gpt
We did that with a litter of kittens whose mum had been ran over. 

We fed them and left and did that for a few days. Then one day we set the food out and just waited. One eventually came over to say hello. Next time we set the food inside a cat carrier and just waited. 

Cat’s going on strong 6 years now. 

Friends of ours took in the other two and used the same tactic.