According to The Sun, the only way the pregnant musician can obtain information on how the laptop was compromised is by taking legal action, so she filed a lawsuit against Apple in the London High Court last week.
It is thought that Allen initially approached Apple for assistance, when this was refused a lawsuit was was filed.
At the time of writing the backstory is a little vague and The Sun’s article a little sensationalist. The lawsuit is probably more of a means to an end, a way of getting to the bottom of the hack, not an attack on Apple.
Interestingly, the first result on Google search for “Lily Allen Apple” brings up a case study on Lily Allen’s collaboration with Future Cut Productions, where they used Logic Pro to help create Allen’s albums and also tour live with the singer: