Crossword Genius

Bloody Mary's edged into part of the curriculum (4)

Ross

I believe the answer is:

rare

I'm a little stuck... Click here to teach me more about this clue!

'bloody' is the definition.
(I know that bloody can be written as rare)

'mary's edged into part of the curriculum' is the wordplay.
I cannot quite see how this works, but
'part' could be 're' (re is a kind of part) and 're' is found in the answer.
The remaining letters 'ra' is a valid word which might be clued in a way I don't understand.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for rare that I've seen before include "like gold dust" , "Might steak be" , "'Unusual, uncommon (4)'" , "Very lightly cooked, meat say" , "Special" .)

I've seen this clue in The Independent.
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