Will I have any trouble with getting Schengen visa?
Muito provavelmente sim, embora o Reino Unido não faça parte da zona Schengen, ele colabora no SIS (Sistema de Informação de Schengen ). Uma das condições prévias para obter um visto Schengen é não ser sinalizada no SIS.
In accordance with the protocol to the Treaty of Amsterdam, Ireland and the United Kingdom can take part in some or all of the Schengen arrangements, if the Schengen Member States and the government representative of the country in question vote unanimously in favour within the Council.
In March 1999, the United Kingdom asked to cooperate in some aspects of Schengen, namely police and judicial cooperation in criminal matters, the fight against drugs and the SIS. The Council Decision 2000/365/EC approving the request by the United Kingdom was adopted on 29 May 2000.
(source: "The Schengen area and cooperation")