WI: King Alfred of Greece and Great Britain?

So in 1862 there was a greek referendum for a new king - Prince Alfred of Great Britain got 95% percent of the vote but still wasn't chosen, partly because of the London Conference of 1832 setting a precedent that Great Powers wanted to follow, but also because Queen Victoria was strongly opposed to sending a son off to a foreign country. So let's say she isn't quite so opposed (Prince Albert lives or something) and Alfred becomes King of Greece in 1862.

Now let's have a second POD of the Prince of Wales dying in 1863 (before conceiving Albert Victor, let's say), putting Alfred directly in line to the British throne. What exactly happens now? A personal union of the two countries really isn't going to fly - but all the alternatives are also awkward. Does Alfred abdicate the Greek throne after reigning for a year? Does he give up his claim to the British throne for his brother Arthur, Duke of Connaught? (Does Arthur somehow become King of Greece?)
 
So in 1862 there was a greek referendum for a new king - Prince Alfred of Great Britain got 95% percent of the vote but still wasn't chosen, partly because of the London Conference of 1832 setting a precedent that Great Powers wanted to follow, but also because Queen Victoria was strongly opposed to sending a son off to a foreign country. So let's say she isn't quite so opposed (Prince Albert lives or something) and Alfred becomes King of Greece in 1862.

Now let's have a second POD of the Prince of Wales dying in 1863 (before conceiving Albert Victor, let's say), putting Alfred directly in line to the British throne. What exactly happens now? A personal union of the two countries really isn't going to fly - but all the alternatives are also awkward. Does Alfred abdicate the Greek throne after reigning for a year? Does he give up his claim to the British throne for his brother Arthur, Duke of Connaught? (Does Arthur somehow become King of Greece?)

Any treaty putting Alfred in the Greek throne will be also removing him from the line of succession to the British throne. Of course a British king in Greece has interesting consequences as early as the Cretan revolution of 1866.
 
So Alfred's renunciation would presumably stand? Then what kind of subsequent effects are there goo to be with a closer Britain and Greece?
 
To be fair, even if he still had the claim, I doubt that the Greeks would be okay with becoming basically a British Dominion.
 
If Alfred was King of Greece when the PoW died, he might not be allowed to become King of England, but one of his sons might. Doing the reverse and renouncing his claim to the throne of Greece.
 
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