did palpatine lie by saying "in your anger, you killed her" ?
palpatine told anakin "it seems in your anger, you killed her". he never said "with your force choke, you killed her".
well, he was a sith at the time, and a very angry one. he was angry enough to choke her (and probably cause early child birth).
she might have died from an unknown reason or because of his force choke, but whatever it was, it was related to him turning to the dark side and/or attacking her.