In an Instagram message posted early Wednesday, Zelda takes aim at vicious social-media users, chastising them for "mining our accounts for photos of dad" and "judging me" for not having posted more photo tributes.
"I will be leaving this account for a [bit] while I heal and decide if I'll be deleting it or not," she writes. "In this difficult time, please try to be respectful of the accounts of myself, my family and my friends. Mining our accounts for photos of dad, or judging me on the number of them is cruel and unnecessary. There are a couple throughout, but the real private moments I shared with him were precious, quiet, and believe it or not, not full of photos or 'selfies.' "
She adds: "I shared him with a world where everyone was taking their photo with him, but I was lucky enough to spend time with him without cameras too. That was more than enough, and I'm grateful for what little time I had. My favorite photos of family are framed in my house, not posted on social media, and they'll remain there."
Zelda wraps up by thanking supporters for "your respect and understanding in this difficult time. Goodbye."
She also took to Twitter, apparently in the aftermath of a verbal scuffle with users who reportedly sent her upsetting Photoshopped images of her late father.
"I'm sorry. I should've risen above," she Tweeted. "Deleting this from my devices for a good long time, maybe forever. Time will tell. Goodbye."
I'm sorry. I should've risen above. Deleting this from my devices for a good long time, maybe forever. Time will tell. Goodbye.— Zelda Williams (@zeldawilliams) August 13, 2014
As Williams expressed her hurt, she was consoled by Frances Bean Cobain, who lost her own father, rock star Kurt Cobain, to suicide when she was just 2. Cobain, now 21, reached out to Williams's daughter on Twitter, offering her support.
She posted Tuesday: "@zeldawilliams You have such an incredibly beautiful soul. I love you but you already knew that. Wherever, whenever u need me I'll be there."
Robin Williams was found dead early Monday morning at his home in Tiburon, California, and authorities confirmed Tuesday that the 63-year-old, who had been undergoing treatment for depression, died of asphyxiation after he hanged himself with a belt.
Authorities declined to elaborate whether a note was found or there were indications of drug or alcohol use. The final cause of death will be determined in about two to six weeks after toxicology results are released.
The Williams family is asking well-wishers to send contributions to charities close to the actor's heart in lieu of flowers. Suggested organizations include St. Jude Children's Research Hospital, Challenged Athletes, USO, the Muhammad Ali Parkinson Center, the Christopher and Dana Reeve Foundation and Glide Memorial Church in San Francisco.
If you or someone you know is considering suicide, please contact the National Suicide Prevention Lifeline at 1-800-273-TALK (8255).
For more on Robin Williams's tragic death and his legacy of comic genius, pick up the latest issue of PEOPLE, on newsstands Friday