About 3 years ago I met a man on the internet and we decided to meet in person. He bought me a one way ticket to England (where he lived) and the plan was I would buy a ticket back when I wanted to go back. Well of course when I showed up at Heathrow with a one way ticket and an extremely odd story they put me in detention. (At this time I did not yet hold a Belgian passport) so I sat in detention for 48 hours before UK immigration sent me back home. The man I was going to meet bought a ticket to go back to the US with me on the same flight after sitting in the airport for 2 days. When I left they told me I could never return to the UK unless I had a visa. When we arrived back in the US we fell in love and married 2 weeks later..

To simplify another aspect of the story my husband never applied for his visa because he had a criminal conviction in the UK and was told he would not be approved for a greencard. In 2008 we had a baby and in 2009 Immigration and Customs Police took him into custody and deported him back to the UK where he has now been in jail for the last year. I realized that if I held an EU passport I could probably get into the UK without worry. So last year I applied for and received my Belgian passport and my daughter applied for and received her american and british passport.
MY QUESTION IS- Can my daughter and I enter the UK with no conflict since I now hold an EU passport and my daughter holds a British passport?
And if I do go through passport control will I be asked for my American passport if I provide my Belgian one?