The empire was already falling apart at that point.

• The US more or less treated the UK like a "junior partner", e.g. in the post-war nuclear programme (a complete role reversal), demanding the UK to prove their technological equality (leading to the Windscale fire). Diplomatic relations were similarly tilted in favour of the US, see below.
• The British economy also barely recovered. Food rationing was in place until 1954, for example, and the industry didn't manage to catch up to the US again, neither in terms of technical advance, nor growth rates. Combined with the loans, this greatly reduced the relative strength of Britain and hindered their recovery.
• The colonies more or less immediately pressed for independence (which they argued to have earned with their contributions to the war), which was granted soon enough: India, Pakistan, Burma and Ceylon all gained independence within five years. The remaining decolonization was more or less unimportant in comparison to losing the Empire of India.

By the time of the Suez Crisis, the British Empire had already lost most of its influence.

Not good. They had mobilized and militarized to such an extent that demobilization was difficult. Under the incredible load of debt, they had trouble rotating and bringing home a lot of soldiers guarding the empire. Naturally at that point mutinies broke out in the form of AWOLs, and the Royal Indian Navy and Air Force reacted similarly. Britain's ability to project power globally was significantly crippled during that period, and they were pushed into some financial agreements with the US and some colonial revolts/independence negotiations it's hard to imagine they might have accepted if they were in better shape. The onset of the Cold War and obligations to the United States forced them to adopt a military position to "counter" the Southern Russian industrial zone in case of a war, so they were also stuck in some places in the Middle East that weren't fond of it, and the loss of the Suez Canal made them lose their "rent" that had previously funded activities in that region.

Still, relatively, they went from #3 in the world to #3 so it was mostly the differences that come with not being able to maintain superpower as opposed to mere great power.