Upvote:1
Your mother qualifies for an EEA family permit to travel with you to the UK only if she is dependent on you. If she is not, then she will need a standard visitor visa.
The EEA family permit application is supposed to be decided "quickly"; it shouldn't take more than a week or two. If you have evidence that she is dependent on you, but the decision isn't clear, it might take a bit longer.