It depends a lot on the circumstances of the death of the other spouse.
We had an elder (about 70) who cared for his wife for years and years, after many strokes. Finally she died. He remarried a friend he kne slightly, from another state, about 6 months later. His daughter was furious, hurt and more, but went to the wedding anyway (my husband performed it) and cried through the whole thing. She should have stayed home. The marriage was very happy and they had a good life together until he died about 10 years later.
My brother, on the other hand, lost his wife and baby in childbirth in 1977, leaving him with two teenaged daughters. He was desolate and, in a move to recapture what they had lost, he remarried a woman he met on a business trip, 3 months later (yes, they were JW's, he was an elder and she a pioneer............it had to work, didn't it?). It was a disaster, and they divorced a little over a year, and one baby girl later. He never remarried again.
So, each person should decide, with input from their families.