IF YOU LIKE...

Recently Triple J undertook a poll to see what the "Hottest 100 Songs of All Time" were. The results were pretty predictable for 90's generation rock music listeners- Nirvana, Rage Against the Machine, Jeff Buckley and Radiohead holding a lot of high spots. HOWEVER! it soon became apparent that there were no female artists in the top 100 at all! I just think this is crazy. Some callers in to the radio station suggested that female artists don't have the same emotional impact or that they don't "do epic ballads." I am going to try and prove these people wrong by recommending female artists every now and then so that people don't forget about them in future polls.
So. First off, an easier? one.

Female Artists you might like if you like Radiohead.
Radiohead are pretty great! I agree with you! If you like Radiohead chances are you have probably already checked out some similar artists and chances are some of them may have been female artists!

The most obvious starting points would be collaborations- the two that spring to my mind in particular are duets between Thom Yorke and both PJ Harvey and Bjork.
PJ Harvey, earlier work some sort of crazy guitarbeast and later more atmospheric would be an artist I would highly recommend to anyone, not just Radiohead fans! Her album "Is this desire?" would be a great starting point, it has probably all of the sounds that she has done before and is more in-line with the end-of-the-world mood of Radiohead.
If you don't know who Bjork is, you are missing out. She is off the hook. There isn't really anyone making music like her. I don't even know what genre to call it. The album "Homogenic" is generally considered the most favoured among fans (I think?) but my favourite is the more glitchy "Vespertine."

A band with such a viverse variety of sound as Radiohead is hard to relate to other artists and as such there are probably hundred of female artists which Radiohead fans might like depending on which albums or sounds they prefer. One band however which springs to mind for keeping the same claustrophobic and downbeat atmosphere is Portishead. Beth Gibbons and co. craft some really top notch stuff, and I would highly recommend them as well as the two artists above.
Their latest album in particular, Third, has a huge variety of sounds and is a must listen. I would also recommend Beth Gibbons' solo album.

Thus ends my first female artists showcase... let me know other recommendations or suggestions that I didn't touch upon!