How to say things sincerely without offending others?

Lately someone I knew is having H1N1-like symptom. When I suggest getting it checked, some people seems to show resistance...

Although I am rather concerned and anxious yet I have the qualms of saying it too many times...

HMm...at times like this I cannot help but think back some same occurrences..which I often offend people while trying to mean well..

Thinking back those unhappy moments whereby each time I commented, I was bombarded, yet when I stay complete silent, I was being labelled as "unloyal" or not a good buddy..

haih...

Human relationship are real complex isn't it...or has I made it looks too complex without knowing..

Wonder how can message be conveyed across sincerely without offence...

Do you all experienced similar situation? How do you all manage it?

Care to share...would love to learn from all the wise ones out there!

Cheers!