What is the meaning of 'without' in the phrase "was willing to live with him without"?
Solution 1:
Well, I've found the original text in Russian. The original text says, "she didn't want to marry him, however she didn't mind living this way", ie. without changes.
Hope it helped.
Solution 2:
My interpretation of the ellipsis is:
... she did not want to marry him, but was willing to live with him without doing so.