It will seriously depend on how committed [William] is to continuing his family's rule of Hanover. If he's serious, he'll find someone much younger to marry and make sure she pops out the requisite son.
If he succeeds in 1830... he's 65. Why would he now decide it is urgent to have a male heir of his own? With four younger brothers, continuation of the family in Hanover is not in any danger.
Before Charlotte's death, the succession at Hanover was already likely to split from Britain, and William didn't show any concern then. So with the British succession secure, he might remain a bachelor.
If succeeding in Hanover changed his mind, he could try marrying some wench who is "good breeding stock" (to quote the Duke of Chalfont in Kind Hearts and Coronets). But he could well match the experience of Louis XII of France, who re-married at 53, and killed himself in three months with futile efforts to beget a son.
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