this is not the x10hosting fault. "Cpanel" company is forcing the paper_lantern to all its customer as the old theme is deprecated.
If x10hosting account, it will be suspended of 30 days inactivity and a while later then it will be deleted. Or ask a member of the staff to do that for you. If a website to be deleted, you can manually delete all related data while on paper_lantern theme on file manager inside public_html and delete it corresponding database on SQL. If it is created via
Softaculous
installer includes by cpanel then you can check it in its logo.