True as true, ignoring the odds (7)
I believe the answer is:
sincere
'true' is the definition.
(similar in meaning)
'as true ignoring the odds' is the wordplay.
'as' becomes 'since' (I've seen this before).
'ignoring the odds' indicates alternate letters (letters in odd-numbered positions are removed).
The alternating letters of 'true' are 're'.
'since'+'re'='SINCERE'
(Other definitions for sincere that I've seen before include "like informal correspondents?" , "Free from deception" , "Genuine and honest" , "Unaffected" , "Genuine; deceit-free" .)