His much younger second wife claims income support for herself and child benefits for their three children of school age. We are talking about hundreds of pounds a week to keep this family going.'
Kaela says there are myriad tricks used to bring second wives into Britain. Apart from the 'nanny ruse', new female partners enter the country using tourist visas, student visas or work permits. They simply overstay the visas, which are normally for six months, and stay in Britain, often hiding away in their husband's home.
But women suffer as a result of polygamy, says Kaela. 'The first wives get depressed because they are so ashamed of their husband taking a second or third wife.
'Many wives have been here for years, but have never been allowed to learn English or even go out of the house alone. They have no one to turn to for help.'
No one knows such anguish better than Sameera, a well-spoken, middle-aged woman living in one of our multi-cultural cities, whose 55-year-old husband found a second wife after 30 years of marriage.
He went on holiday to his homeland of Pakistan where, without Sameera's knowledge or consent, he married a 26-year-old cousin.
'I fainted when I heard,' says Sameera. 'The fact that he's married a girl young enough to be his daughter has upset me so much.
'I cried. I felt like my mind was exploding. The ground had just fallen from me. Why did he do it? It shouldn't happen.'
Astonishingly, though, Sameera has been forced to welcome the new wife into her house.
The alternative, she says, would be the breakdown of her relationship with her husband and, possibly, the loss of her home. In other words, she might be thrown on to the streets.
Yet despite such emotional cruelty, there are those who say polygamy should be legal in multicultural Britain. A leading Muslim academic at Cambridge University has claimed that men are biologically designed to desire more than one woman and that, therefore, polygamy should be legalised.
Meanwhile, a primary school teacher in Birmingham recently spoke publicly about his contented life with two wives and six children, all living in the same house.
Even a prominent female member of the Muslim Parliament of Great Britain - set up in 1992 to debate Islamic issues - has claimed that she knows of many very happy polygamous marriages in Britain.
'I am aware that this practice is taking place, and there are couples who are quite satisfied with their relationship, and they would like it to carry on and be protected by law,' she proclaimed.
Back at the immigration appeals centre at Taylor House, which heard the case of Somali-born polygamist Abdi, a Home Office lawyer took me aside and whispered: 'This man's not the only husband doing this.
'Last week, there was one man who was born in Pakistan and arrived to settle here only four years ago. He brought in one wife legally. They arrived as asylum seekers. The next wife came in on a student's visa. The third pretended to be visiting relatives in Southwark, South London. She had a sixmonth tourist visa but overstayed and was about to be deported.
'She ended up here, begging to remain in Britain with her husband.'
As for Abdi, I spoke to his son after the case adjourned as he waited for a bus with his mother, Fatima, while his father went back to work. The polite, intelligent-teenager is studying at college and hopes to become an engineer.
He came to Britain with his mother (who speaks only a few words of English) as asylum seekers from Somalia several years after Abdi had made the journey alone seeking a job, money and a better future.
'I knew my father had a second wife,' the teenager said with a friendly smile. 'That is not unusual in Somalia. I want to stay in Britain, and so does my mother. Our lives should not be shattered because of this.'
But British taxpayers footing the bill may beg to disagree.
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