Just checked, and the National Archives (England & Wales) only has a very few after 1937 so if it was definitely during WW2 you are unlikely to find it on there:
After 1937 only a very small sample was kept which we have in series J 77. To find whether there is a divorce record at The National Archives which may be of interest, search the Catalogue entering the surname as a keyword and J 77 as the series reference
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