Salaried worker who worked in NY 4 days for my company and working days question

I'm a salaried worker for a company in the USA. This year I had to spend 4 days in NY for a client and my company put that I they took out $10 for taxes for the time I was in NY. Do I have to do a NY state tax return?

 

If so, my question is when I look at it I assume that since I'm salaried my working days are 365. So, my days outside of NY would be 361?  So confusing.