My only experience with this is being a teenager when my parents were dating (they divorced before my freshman year in high school?so both of them dated when I was in high school.). I never really had an issue with them dating.
Can you just sit down and have an honest talk with your daughter? That you would really like her to get to know the man you are seriously dating, and that your relationship with him in no way diminishes your relationship with her. Does she see a therapist? Did she not want to come in because she thought you were being intimate? Have you asked her how she feels about you dating and what are her concerns? If she?s 16, then she?s old enough to have an adult conversation with you about it.
I?m sorry it?s challenging, but I?m happy you have found someone you are happy with.
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DD (3/06)
DS1 (7/09)
DS2 (8/13)