Does not matter wifi or wired. To have
window authentication / trusted connection / integrated security working between the client and the sql server, the server needs to be able to verify client user identity. This can be achieved only in a domain with kerberos or in local environment, but not in a workgroup or between independent machines. If these do not apply, you will probably need to use sql native authentication (username and password).
Check this out for some theory:
http://msdn.microsoft.com/en-us/library/bb669066.aspx[
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