"tighter rules on family reunion and restricting most refugees to a temporary stay in the country" - ie cutting the number of people and time that is legal.
Compare with BBC or Guardian reports:
UK to announce plans to emulate stringent Danish immigration system
Shabana Mahmood is to announce changes to the UKs immigration rules modelled on the Danish system, largely seen as among the most stringent in Europe, the Guardian understands.
Last month, the home secretary dispatched officials to Denmark to study its border control and asylum policies. Denmarks tighter rules on family reunions and restricting some refugees to a temporary stay are among the policies being looked at.
...
UK Home Office officials have also been drawn to Denmarks tighter rules for family reunions. When a refugee granted residency rights wants their partner to join them, there are numerous thresholds that must be met. Both people must be age 24 and above, the partner in Denmark must not have claimed benefits for three years and also has to put up a financial guarantee. Both partners must also pass a Danish language test.
Denmark has also barred those who live in housing estates designated as parallel societies by the government where more than 50% of residents are from what it considers to be non-western backgrounds from being granted family reunion.
https://www.theguardian.com/uk-news/2025/nov/08/uk-to-announce-plans-to-emulate-stringent-danish-immigration-system
UK seeks Danish inspiration to shake up immigration system
Shabana Mahmood will model some of her new measures on the Danish system - seen as one of the toughest in Europe.
It is understood officials have been looking at Denmark's tighter rules on family reunion and restricting most refugees to a temporary stay in the country.
Mahmood wants to reduce incentives that draw people to the UK, while making it easier to expel those with no right to be in the country.
...
For those who have been in Denmark for a longer period, the length of time necessary to acquire settlement rights has been extended and conditions - such as being in full-time employment - have been added.
https://www.bbc.co.uk/news/articles/cm2lknr2d3go
The closest any get to talking about illegal migration is the BBC's "Mahmood wants to ... while making it easier to expel those with no right to be in the country". Yes, she wants that, but there's no explanation about what the "easier" bit is about, or whether it's anything to do with Denmark.