Mike's wife has a brief telephone conversation with another oil rigger's wife/partner, but it's about the danger their husbands are in.
There's also the daughter, but her scenes all involve her father.
The single female rigger, Andrea, doesn't get to speak to any other women (with the possible exception of the secretary lady on the mainland, who isn't named).

I think that we might have a technical pass here.

When Felicia talks with the other rigger's partner, they explicitly talk about the rig situation. Their husbands safety is implicit, but they are talking about the accident itself, not about their husbands:
- Hi, our husbands work togheter at Deepwater Horizon. I talked to the coastguards and they told me there's a fire in the platform.
- I heard they are people jumping to the water.
(Not the literal script, just paraphrasing here).

And just after that, the daughter enters the room sobbing and saying "Mon, is everything OK?". "Not a good time now, baby, not a good time".

These two conversations make a technical pass, IMHO.

Felicia and Sydney have a conversation at 1:18 that is not about a man. It goes - S: “What are you doing?” F: “Not now baby” S: “What are you doing?” F: “Not now baby”. This isn’t that deep of a conversation, but it is two female named characters talking about something other than a man so it passes all three tenets of the Bechdel test