For one, it’s what professional writers do – and you’re now a professional writer, like it or not. Second, readers will trust you more if they know more about you. As you build your reputation as a writer that people can trust, your fans will start noticing you and recognizing both your name and your face at a glance as they come across your work, wherever it resides.
How do you want people to remember you? Write your bio accordingly. It’s good practice to keep the bio short and general, similar to bios you’ve provided on other social media sites. Here’s a helpful article I found that suggests presenting the same personal brand across all of your social networks by using the same bio and photo. Not a bad idea.
Speaking of photos, a good, clear picture of yourself is best, but a smart, recognizable avatar can work if you’re just absolutely too shy (or have legitimate privacy issues) to share your face with the whole wide world.
It’s amazing how quickly we establish our reputations as writers, so work hard to make your reputation a favorable one by putting some effort into creating an up-to-date profile that reflects the you that you want people to get to know.