Loveliest of Friends by G. Sheila Donisthorpe

The world condemned their love.
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From the back:

Perverse

When this book first appeared in England, it created a sensation and was favorably compared to Radclyffe Hall's Well of Loneliness. It is the powerful and bitter story of Audrey and Kim and the perverse yet compelling attraction that drew them together. The haunting theme of this novel has seldom before been treated with such delicacy and deep understanding.