I doubt that citizenship has much to do with it. If you own property or shares etc and so in, in the UK and derive income from such then you may be liable for UK income tax on such profits regardless of whether or not you are resident or ordinarily resident. Domicile is something quite different. Of course, you will still be enititled to the usual allowances before taxation as applicable to marital state.
If you are not domiciled in the UK (a ruling for this has to be obtained from the Revenue) you are not liable for UK income tax on any money earned or paid overseas, even though you may be resident in the UK. You do not have to declare it on your tax return so long as you have not brought these funds into the country, in any way at all, such as by a constructive remittance.
More information may be obtained upon payments of large amounts of cash and all information is gven without prejudice.
