"What's been extremely, extremely difficult is the way people are approaching my family and my loved ones," she said. "They have had ICE [US Immigration and Customs Enforcement] called on them. My family doesn't feel safe in their own home. I'm receiving death threats.
"There's no need to fight hate with hate. I don't think that that's justice."
Ortega said she was in agreement with the network's decision to remove her from the show and said she understands why viewers were upset.
But she took issue with social media posts claiming that she did not delete the derogatory post or doubled down on using it.
"I was apologetic and I educated, not only myself on the true meaning and history of the word, but also anyone around me.
"I think the backlash has obviously been very hard to deal with."
Ortega's departure from the show, a spinoff of the popular UK reality series, follows that of fellow islander Yulissa Escobar, who left after videos of her using a racial slur on a podcast in 2021 re-emerged.
Ms Escobar later apologised, saying on Instagram she used the offensive term "ignorantly, not fully understanding the weight, history, or pain behind it".
She followed up her apology with a second post, saying she had received death threats and that she "came back to a warzone" after leaving the villa.
This season of Love Island USA has been wildly popular and Peacock, NBC's streaming app that airs the show, said the series was ranking as the most streamed reality series.
But its skyrocketing success has led to contestants being relentlessly cyberbullied on social media, so much so that the show aired a statement during a recent episode with a plea for viewers to halt the harassment.