Well I’m a dummy. I just restarted my PC and tried again and can connect as normal. Suppose that should have been the first thing I tried, but I appreciate the help either way!
Now I don’t have to worry about losing out on daily login rewards.
Edit: Or maybe not, was able to login, undocked, went to warp somewhere and ship would not respond to anything. Got DC’d and now I can’t log back in. Will open a ticket.