The correct answer is 'don't want'. The complete sentence should read: 'I don't want to hear about it again.' This expresses a desire to avoid hearing something again. The other options are incorrect for various grammatical reasons.
'doesn't want' - is used for third-person singular (he/she/it) so it doesn't work with 'I'
'wants' - has the same problem as 'doesn't want', doesn't match with the person.
'am not wanting' - is not a correct form to use here, and doesn't sound natural.