He’s probably worried that they’ll think he’s moving on too fast or, perhaps, won’t be open to the idea of seeing him with someone else.
He might also be concerned that this new relationship will cause friction with other family and friends who are still mourning.
These worries and concerns are natural, but they’re no excuse.
If a widower really has serious feelings for you, he won’t let the thoughts or opinions of others stop him from letting the world know about you.
Often the person is immortalized through online memorial sites, photos, or even literal shrines to that person.
If a widower is truly making room in his heart for you, the shrines, photographs, and other ways of commemorating the dead will slowly disappear. If the shrines remain, it’s time to find someone else who doesn't mete out his love to dead idols.
Unless you’re willing to become the late wife and do things exactly like she did them, don’t waste your time.