Eea3/ eea4 and fostering

[Guerro]

Hello everyone;
My wife, eea, has been working for the same employer for more than 5 years. We will put her eea3 within days. She is planning now to stop work and do fostering. Does this count as benefits? Should i apply for csi once she stops work? Am i allowed to put my name on the fostering application or will i be considered as receiving benefits and burden on public funds?
If you have any answers or ideas i'll be more than happy.
Thanks