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Hello from JustAnswer.
Yes, it would be appropriate for your daughter to be checked at a Walk-In Clinic or Urgent Care Center. She may simply have a generic viral infection, but it may be influenza, and if so, she may benefit from influenza treatment, such as Tamiflu.
In addition, once the specific type of infection is identified, then the risk for your brother-in-law can be clarified, including what, if any, additional steps can be taken to limit the risk for the brother-in-law.
If I can provide any additional information, please let me know.