There is really no need to worry about Ungulus unless she has some very detailed plans and spends real time managing it. Clarissa is a very seasoned healer and long-time matron of the infirmary. She is already training her successor, as well as a small army of reservist nurses, which she does so well that sending one or two of them off to Oak Circle is no real sacrifce.
Looking for suitable people in the villages, Sionag quickly learns that Clarissa's reputation outshines everybody else in the Lake District. There are some dabblers, but they would defer to Clarissa for anything serious.
When she continues the search a little late in Autumn or early Winter, people turn away and pledge ignorance, and some bold fellows interfer and accuse her of being wulfric's spy. «Tell your master to go back to Eadric's lap!»
She has a chance to go into Carlisle later in Winter if she wants to push the matter further.