Lingering negative responses to stress linked with health a decade later. People whose negative emotional responses to stress carry over to the following day are more likely to report health problems and physical limitations later in life compared with peers who are able to 'let it go.' Source 5m.
Stress is not making me sick and I do not recall a time where it has. Maybe I am a bit different and do not let stress effect me to the point of sickness but I do know a few people who have become sick to the point of throwing up and everything due to the amount of stress they had.