Considering that Strange never shuts up and is perfectly comfortable with gossip, Shura's found herself a worthy shittalking ally. He raises an eyebrow at her request but doesn't really seem to find anything wrong or objectionable with it.

"I'm afraid I don't know Okumura as well as some of the others so I can't tell you much about him specifically. But I can definitely verify something that he told you about this place or our coworkers, if you want."

Which is mostly the reason why he's perfectly fine dishing dirt on Rin and possibly throwing him under the bus. After all, he barely knows the guy.