From the transcript the only bit that mentions immigration, Prior to that the immediate topic was the dole
"GD: You can’t say anything about the immigrants because you’re saying that you’re... but all these eastern Europeans what are coming in, where are they flocking from?
GB: A million people have come from Europe but a million British people have gone into Europe. You do know that there’s a lot of British people staying in Europe as well. Look, come back to what were your initial principles: helping people – that’s what we’re in the business of doing. A decent health service, that’s really important, and education. Now these are the things that we have tried to do. We’re going to maintain the schools so that we can make sure that people have that chance to get on. We’re going to maintain the health service so that..."
and straight after students going to university and having to pay. Then some general chitchat and nice to meet you stuff
Then
Gordon Brown gets in car.
"GB: That was a disaster... should never have put me with that woman. Whose idea was that?
Aide: I don’t know, I didn’t see her.
GB: Sue [Nye]’s, I think. Just ridiculous.
Aide: Not sure that they’ll go with that one.
GB: They will go with that one.
Aide: What did she say?
GB: Everything, she was just a sort of bigoted woman who said she used to be Labour."
she brought up immigration along with many other subjects she may not have worded it perfectly but it was a valid question that many people at the time were asking. She didn't deserve the bigoted woman comment