Rule 13 states:

Judging by the video, I would say that

1. Artemis begins her tack at 0:12. That's when she starts to head up. At this point, both boats are on port tack and Artemis is clear ahead, so rules 12 and 16 apply. The boats become overlapped almost immediately, and then rules 11 and 16 apply. Both boats are upholding their obligations at this time.
2. At time 0:14, Artemis passes head-to-wind (you can see her jib flutter). Now rules 11 and 16 cease to apply, and 13 takes over. Rule 14 also comes into play.
3. At time 0:15, Groupe Edmond starts bearing away. I see her main ease at 0:16 and both sails are dumping air by 0:18 (while continuously bearing down).
4. Artemis continues to turn until 0:20, so that's when I'd say she reached a close-hauled course. At that instant she is no longer tacking and is now on starboard tack. Rule 13 no longer applies. Rules 10 and 15 do.
5. At 0:21, the boats collide.

The sails don't have to be drawing. What counts is being on a "close hauled course". That means that the boat is pointing in the direction on which she would sail close-hauled.

From a rules perspective, no. A boat does not have to anticipate the actions of another boat. She need only react to what the other boat actually does. See ISAF Case 92.
From a judgement perspective, one should always try to anticipate what other boats might do. I don't see any evidence that Groupe Edmond failed in that, given that she began her bear-away within a second of Artemis passing head-to-wind. Groupe Edmond was obviously ready to take avoing action and did not delay.

A boat completes her tack when she reaches a close-hauled course. At that instant, rule 13 ends and rule 10 applies. rule 15 "Acquiring Right of Way" also applies, so a boat that tacked to starboard must initially give a port tack boat room to keep clear.

I hope that helps,
Eric