how to rebase backwards

I want to rebase a new branch onto an earlier commit 

original:  
E is a newly created branch from D and not yet modified
                    E
                   /
-- A -- B -- C -- D

new: what I wanted
     B'-- C' -- E     for deployment
    /          
-- A -- B -- C -- D    trunk

so that I can continue to change all commits from B to C without
affecting E

I try (not sure if correct) doing it by
  git rebase --onto A B E

but then there is a lot of conflict/both modified files. What will be
the correct way to do it?

-- 
regards,
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