Exchange 2010, O365, APM and iRule

For EWS and Autodiscover, you should be able to add an iRule (or disable strictness on the iApp deployment and edit the existing pool assignment iRule) to disable APM for that traffic. For example:

when HTTP_REQUEST {
    switch -glob -- [string tolower [HTTP::path]] {
    "/ews*" {
        ACCESS::disable
    }
    "/autodiscover*" {
        ACCESS::disable
    }
}

For OWA, you'll need to remove the logon page from the Access Policy and modify the sso_select iRule to choose the NTLM SSO instead of forms:

when ACCESS_ACL_ALLOWED {
    set req_uri [string tolower [HTTP::uri]]
    if { $req_uri contains "/owa"  } {
        WEBSSO::select [set foo /Common/exchange_2010.app/exch_ntlm_sso]
    }
    unset req_uri
}