As soon as Freida was left alone with Yajel in Arima's hut, she started looking for any available clean towel that she could use to clean Yajel. Although he appeared to be stable at this point, Freida was unable to remain calm, knowing that his wounds didn't get any better despite the first aid she had administered.
She didn't regard herself as an expert in any case, but at least an injured person receiving first aid wouldn't progress as quickly to a serious, life-threatening condition as what Arima believed Yajel had. Simply put, Freida couldn't let him pass away on her account.
And because Freida was unable to locate anything in the hut that even remotely resembled a towel, she was forced to resort to tearing off a section of the cloak she was wearing in order to clean Yajel. As a result of their brief detention in the solitary confinement cell, his face was caked with dust.