I've always detested the way in which the Drow are portrayed because they are always protrayed in a way that I strongly associate with lawful evil rather than chaotic evil. They have never once acted in a way suggestive of chaotic evil.
It's utterly inexplicable why they haven't turned on her in mass already since thier own society and inclinations are so removed from the diety that they serve. And if they did, arguably there is nothing she could do about it since most D&D cosmologies postulate that a large portion of your divine power is the direct result of being worshipped. The (lawful evil) drow would turn on her, Lloth's power level would sink to being a minor fiend lord, and all her other followers (being chaotic) would immediately go into rebellion to escape her control.
The end.
Like I said, I detest the way Drow have been portrayed.
If you want to make the Drow lawful evil, and there are several reasons why that would be interesting, do so. But don't make them lawful evil and then pretend that they are chaotic as if there were no interesting roles for actually chaotic beings or that the distinction didn't really mean anything but color.