In the given context, "taste bile" is a figurative expression that means feeling a strong sense of disgust, revulsion, or nausea. It suggests that something Eric did or said was so unpleasant or disturbing that it made the speaker physically and emotionally uncomfortable. "Twisted" in this context means that Eric's ideals are distorted, morally wrong, or deviating from what the speaker considers to be ethical or acceptable. It implies that the speaker believes Eric's values or beliefs are morally corrupt or perverse.