Sharon Osbourne opens up about split from Ozzy Osbourne on "The Talk"

Sharon Osbourne is feeling "empowered."

The 63-year-old "The Talk" co-host made her first appearance on the CBS show on Tuesday since news of her split from husband Ozzy Osbourne broke over the weekend, where she got candid about their current relationship. Pointedly carrying a glass of lemonade as she took her seat on stage, Sharon made an obvious reference to reports that Ozzy allegedly cheated on her with a hairstylist by channeling Beyonce's latest album, which has themes of infidelity.

"I honestly am empowered, and I have this inner strength, and I'm like, 'Right, OK, what's next? I can handle this,'" Sharon said when asked about her current state of mind, adding that she's "doing great."

• Ozzy Osbourne's alleged affair is "hard on his family"

Sharon also confirmed reports that she kicked Ozzy out of their Beverly Hills, California, home, but that he's since returned.

"He's back and [now] I'm out of the house," she shared.

The mother-of-three said the two are still talking, though she's "not with him." Sharon is now unsure about their relationship in the future, though she was still wearing her wedding ring on Tuesday. Ozzy was spotted in Los Angeles on Monday, also still wearing his wedding ring.

"I honestly at this point today, have no idea what I'm going to be doing for the rest of my life," she said, getting emotional. "I don't know where I'm going, who I'm going with, and I just need time to think, and really think about myself -- about what do I really want for the rest of my life because this is, like, getting to the last chapter of this book. I really want to think about it carefully, about where I want to go."

"Because I'm 63 years of age and I can't keep living like this," she continued.

Still, she made it clear that she still loves Ozzy, whom she's been married to for 33 years.

"I love Ozzy dearly," Sharon said. "He's given me unbelievable life, he's given me three gorgeous children. I love him."

Sharon also thanked all her fans and co-hosts for the outpouring of support.

"It's honestly given me strength," she said. "I'm not gonna cry about anything, because there's nothing to cry about."

A source close to the family told ET on Monday that the 67-year-old Black Sabbath rocker had an affair with 45-year-old celebrity hairstylist Michelle Pugh, and the news has been difficult for the close-knit Osbourne family -- specifically, for their 31-year-old daughter Kelly.

While Kelly has kept quiet about the scandal, she did make her own Lemonadereference on Instagram on Tuesday, posting a selfie of her holding a lemonade over her right eye.

"Guess who's turning [lemonades] into #lemonade?" she wrote.