Trump and his family members tweeted their upset over the image, and Griffin said that she has been subjected to a constant stream of death threats.
But the 56-year-old comedian insisted she will continue to make jokes about Mr Trump as she accused him, First Lady Melania and his children of "personally trying to ruin my life forever". "You're assuming that everything that Trump says is true, and in fact, we know that everything Trump says is false", she said.
Despite the apology, she was sacked from her job co-hosting CNN's New Year's Eve special and has had at least four comedy shows cancelled.
"I'm not laying down for this guy", she said in one defiant moment.
The Secret Service, she said, have been involved - something they refused to confirm. It's in your face. "I'm going to be honest, he broke me", she cried.
She said the online attacks on her in the last few days - including death threats.
Griffin was justly condemned by the left and the right, her craven stunt infuriated Americans of every political orientation.
"It was a parody of Trump's own sexist remarks taken to an extreme", she added.
Griffin said she was well aware of sexism, having worked her entire life in a male-dominated industry.
Griffin posed with a bloodied replica of Trump's head in a photo shoot shot by celebrity photographer Tyler Shields earlier this week. "You criticize the president, you lose your job", Bloom said.
A New Mexico theatre also canned Griffin's show, while she also lost an endorsement deal with toilet stool company Squatty Potty. Did she deserve so much hate for her Donald Trump post? "I made a awful mistake and terrible call".
Bloom deflected a question regarding past comments Griffin admitted to have made about the president's 11-year-old son, BarronTrump, who was reportedly affected by seeing the video.
Despite the controversy, Griffin still intends to poke fun at Trump.
White House says Trump expected to pull US from Paris deal
Though his stance on climate change is widely known, withdrawing from the deal is expected to have significant repercussions. The U.N.'s main Twitter page quotes Secretary-General Antonio Guterres as saying: "Climate change is undeniable".
Macron says Trump handshake was 'moment of truth'
When Canadian prime minister Justin Trudeau visited Trump for the first time, he was clearly prepared. The two newly-minted leaders met in Brussels on Thursday and shook hands in full view of the press.
Putin dismisses United States claims about Trump, election
According to Kelly , Putin also suggested that the Central Intelligence Agency may have framed Russian Federation for the hacking. As far as the findings of USA intelligence agencies, Putin said , "They have been misled". "But you know I never met with him".