Question: my boyfriend has a baby with another woman whom he lived with before we met). Now mother & baby is back home.? 

Answer: Honestly, you will have to realize that he is the father of this child. Chances are that he will still be in contact with her and the little one. What you should do, if you do not feel comfortable at the moment, is talk to him about this situation. It is hard being in your position because it would be one where you are not directly involved, but one in which could affect you in the near future. Speak up to him, tell him what you feel and try to find some sort of trust in all this.
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