Many people struggle to get enough privacy when they’re confined at home with others. Having a safe and private space from which to speak is absolutely vital for counselling, both online and face to face.
You could wear headphones or ear-buds to make sure you’re the only one who can hear what I’m saying. You could also ask the other people you live with to turn on some entertainment in another room, to avoid what you’re saying being overheard.
Don’t forget to consider “alternative” private spaces (as long as they’re warm and safe). An outside building such as garden shed, a car on a driveway, or an attic room would work perfectly well as a space to talk. Or some people like to walk and talk. As long as you can still get a phone or Wi-Fi signal, then we can have our session.