I feel terrible.
I feel very bad
She feels terrible that her daughter is not talking to her and the general situation. This could be both a mental and physically feeling she is having.
I think in this case, "I feel terrible" is expressing regret and not necessarily a physical feeling. Caller 1 is sorry that their actions caused their daughter not to speak to them. Caller 1 regrets upsetting their daughter.
I feel terrible = I feel very bad, shocking, awful, very unpleasant.
I hope it helps to understand the sentence.
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