She is not talking about illicit relations with the boss. She asked us to elicit relations with her boss.Now what can that mean? Probably she wants us to define the relation with her boss.
But I can't do that because I don't know her, neither do I know her boss.
But If she wants us to investigate the matter, It better be illicit, otherwise there is no fun.
Illicit relations are far more interesting than legal relations.