The correct option is
C put up with
Phrasal verbs are expressions formed with a verb and a preposition, an adverb, or another element.
The meaning formed is different from the individual meaning of the words.Option C: The word 'tolerate' means 'to endure something that may be offending or annoying'.
'Put up with' means 'willing to accept someone/something that is not desirable'.
As you can see, the phrasal verb 'put up with' means the same as 'tolerate'.
Both mean 'to endure something that is not desirable, something that is annoying you'.
Hence, option C is correct.
Option A: 'Put off' is 'an unpleasant quality or feature'.
Option B: 'Put forward' means 'to state an idea or opinion, or suggest a plan or person for other people to consider'.
Option D: 'Put out (something)' means 'to stop a fire'.
These words do not mean the same as 'tolerate'.
Hence, option A, B and D are wrong.