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I think the girl has very good respect to you as she realised that
she does not deserve yr love "You treat me well, i have nothing to
complain...but you love me more than i love you." Think a bit more
and do not make conclusion so early as you have just been together
for a month. She may not love the old guy as much anymore, but
memories still come back sometimes and women need a bit time for
recovery completely. When it comes back, it doesn't mean she still
loves him. Within one month, she shared to you her life story ,
then confessed to you, she should have some respect at least to her
honesty to you. If not, she keeps secret and you turn out to be a
fool. If you still love her, just be friend to her and and time
heals her wound, she will realise it was silly and she made a
mistake in her life....Women are very emotional...give her a bit
time for rest.