The answer to the question posed by the title of this piece is No. Full stop. You don’t have a duty to read anything. So feel free to ignore anyone who tries to guilt you into reading whichever “marginalized” group they pretend to speak for.
Read because you enjoy it. Or don’t. Whatever.
But honestly, if you’re sitting around keeping score on the gender or sexual orientation or melanin content of authors on someone else’s reading list, you might want to consider picking up a hobby or two—and leaving the rest of us the hell alone.