To your question: It largely depends on what you mean by "get out of the way." If the goal is to configure Fiddler not to capture traffic to specific hosts, see Tools > Fiddler Options > Connections > Bypass Fiddler for URLs. Enter a pattern like, e.g.
https://auth.example.com;*.corpdomain.
Alternatively, if the sites in question are HTTPS, you could prevent Fiddler from decrypting traffic to those sites, such that you'd see the CONNECTs in Fiddler, but the traffic would not be decrypted.
What's less clear to me is why having Fiddler intercept the traffic in question is problematic.