Translation:She gets letters demanding money.
It's sorta like the second example here, with Feicim an fear a' tíocht (I see the man coming -- rewritten dialectally).
Edit: I just asked a native speaker and he said this wouldn't be correct (Connacht Irish) and the way to say it would be Faigheann sí litreacha atá ag éileamh arigid. And that it was an odd sentence and it wouldn't be natural to create one like it.
Also just noticed the original needs the genitive on money...
You are right. This version of the exercise is a mess. In a presumably later version airgead has been corrected to airgid. That version has spawned two separate comments [11342964 & 9354496] in the last of which the correctness of your Connacht friend is recognized. This is not the first time that such serious reservations have been encountered. Apparently, nothing can be done about it which undermines any trust in the whole DL enterprise as it is not a simple matter for learners to sort the wheat from the chaff.