her former England footballer husband David
comprises a smaller NP her former England footballer husband and two nominals former England footballer husband and David:
[NP [NP her [Nominal former England footballer husband]] [Nominal David]]
According to The Cambridge Grammar of the English Language (Page 447) by Huddleston and Pullum, David is an appositive modifier that post-modifies the smaller NP.
The first nominal can be called a complex nominal, which a paper titled "Rethinking the Semantics of Complex Nominals" defines as follows:
a sequence of one or more nouns or adjectives preceding a head noun. Instances of such a construction include apple pie, information retrieval system, computer book sale, former political activist, etc.
As this Language Log post shows, the ambiguity of a complex nominal does not necessarily arise from having an adjective but from having a combination of multiple words including a head noun with or without one or more adjectives.
So the term you're looking for may be 'complex nominal' itself.
For the intended interpretation of the complex nominal in the ITV article, the complex nominal should be figured out as follows:
[[former [England footballer]] husband]
Where England footballer and former England footballer are also complex nominals.