You're more likely to kill yourself or a loved one than a home invader.

https://www.theguardian.com/us-news/2022/apr/07/guns-handguns-safety-homicide-killing-study

Researchers find ‘zero evidence of any kind of protective effects’, with women at particular risk

[snip]

Living with a handgun owner particularly increased the risk of being shot to death in a domestic violence incident, and it did not provide any protection against being killed at home by a stranger, the researchers found.

https://www.hsph.harvard.edu/magazine/magazine_article/guns-suicide/

While gun-suicide rates are higher in rural states, which have proportionally more gun owners, the gun-suicide link plays out in urban areas, too. “In the early 1990s, the dramatic rise in young black male suicides was in lock step with the homicide epidemic of those years,” says HSPH’s Deborah Azrael, associate director of the Harvard Youth Violence Prevention Center. “Young black male suicide rates approached those of young white males—though black suicide rates had always been much lower than white suicide rates. It was entirely attributable to an increase in suicide by firearms.” Put simply, the fatal link applies across the board. “It’s true of men, it’s true of women, it’s true of kids. It’s true of blacks, it’s true of whites,” says Azrael. “Cut it however you want: In places where exposure to guns is higher, more people die of suicide.”