The Royal British legion has six care homes and runs no end of projects for disabled ex-servicemen and women and their families, from psychiatric help, counselling, financial support, rehabilitation for amputees and funding for Remembrance visits by veterans to overseas military cemeteries.
I'm perfectly happy to contribute to this work by buying a poppy, and in fact we both obtained one today in Tesco.
If someone doesn't want to wear a poppy, then they needn't do so. It's a free country (thanks to the brave folk who fought against our enemies during two World Wars)