You can be disgusted with someone or something at a totally superficial level and then at the same time be completely disgusted with someone or something at the very core of your being and it will affect everything about you from that angle.
If you have a dream about disgust then this means that you are disgusted with yourself. There is something that you have done or said recently that you hate that you did or said. You need to hold yourself accountable for your mistakes and make sure that they do not happen again or else your opinion of yourself will only continue to fall lower and lower.
If you have a dream in which you are disgusted with someone else and you feel a deep hated for them then this probably corresponds to someone that you dislike in real life. It is also possible that you do not feel a hate as deep for them as you do in the dream, your dreams is merely trying to get your attention to direct it somewhere else. If you have a dream in which you are disgusted with something superficial then this suggests that you are probably going to have to deal with someone or something that you consider a bit unsavory but this experience will be fleeting and you will most certainly get over it in time. It should be this realization that allows you to carry on without worrying too much about what you are going to experience in the future. Otherwise you will have issues.