Cinders, initially wearing shoe, causing public outrage (7)
I believe the answer is:
scandal
'public outrage' is the definition.
(I've seen this before)
'cinders initially wearing shoe' is the wordplay.
'initially' says to take the initial letters.
'wearing' means one lot of letters goes inside another.
'shoe' becomes 'sandal' (sandal is a kind of shoe).
The initial letter of 'cinders' is 'c'.
'c' inserted inside 'sandal' is 'SCANDAL'.
'causing' acts as a link.
(Other definitions for scandal that I've seen before include "disgraceful behaviour" , "It injures reputation" , "Something shameful or disgraceful, often public" , "content of 3 [RED TOPS]?" , "Outrageous event" .)