Griffin and her attorneys appeared at a free-wheeling news conference Friday morning in which Griffin cried and again apologized for the shoot.
New Jersey Gov. Chris Christie (R) Thursday called Ms. Griffin "disgusting" and said the photo was "completely outrageous".
Griffin, since posing for the photo, has received widespread criticism and was sacked from her gig hosting CNN's New Years Eve Special.
Griffin said she's an "in-your-face comedian" who loves to make people laugh and, in this case, "I made a terrible mistake".
Griffin admitted that she made a awful, frightful mistake and a terrible call.
Bloom and Griffin also said the comedian has been receiving death threats, but they did not say from whom.
Calca a Torino, 1527 feriti: 3 gravi. Indagine per procurato allarme
Il bilancio della serata è di 1527 feriti tra i tifosi che assistevano alla finale Champions in piazza San Carlo . Più gravi le condizioni delle persone calpestate, in particolare di otto persone ricoverate in codice rosso.
"You know a lot of comics are going to go hard for Donald, my edge is that I'll go direct for Barron".
The bad blood goes back to 2014 when the comedian was asked to name the "biggest douche celebrity" she has ever met. "He's a bully. I've dealt with older white guys trying to keep me down my whole life, my whole career".
She later apologized by posting a 31-second video message, where she admitted that she went "too far".
"I've had everybody turn on me and I just want to make people laugh".
"The president and his grown children and the first lady are personally trying to ruin my life forever", she said.
Trump had described Kelly after she moderated a presidential debate as having "blood coming out of her eyes, blood coming out of wherever".
"Kathy never imagined it could be misinterpreted as a threat of violence against Trump".
Griffin also explained that she believed she was a clear target of a sexist culture. "But it's a good time to be a comedian", Griffin said.