You are taking completely separate problems and conveniently attributing all of them to immigration.
Of course any woman raped in a park deserves justice, and if the offender has no legal right to remain here then he should face the criminal justice system and, where legally possible, deportation. But why are you using one horrific crime to characterise an entire population?
The actual picture of sexual violence is rather different from the stranger-in-the-park scenario you've chosen. ONS figures show that among victims of rape or assault by penetration, the perpetrator was far more commonly a partner or ex-partner than a stranger. Sexual violence against women was a serious problem in Britain long before small boats became today's political obsession.
As for the NHS, perhaps we should also look at ourselves. Adult obesity in England has risen from 15% in 1993 to 29% in 2022, and nearly two-thirds of adults are now overweight or living with obesity. Our population is also ageing. Pretending that a woman is waiting three years for a hip operation simply because “the hospitals are full of immigrants” is an extraordinary oversimplification of the problems facing the NHS.
And the housing shortage? Britain has made political decisions about housebuilding and social housing over decades. People arriving on boats didn't travel back in time and make those decisions for us.
By all means argue for controlled immigration, secure borders and the removal of people who have no legal right to remain. Those are perfectly legitimate positions. But blaming migrants for rape, NHS waiting lists and decades of inadequate housing policy isn't a serious analysis of any of those problems.