Other mistake: When James is on the top of the jeep, there is a brief shot of it from behind as they go past an armed soldier. Watch carefully, the jeep goes over a few bumps and Bond on top seems to jump all over the place in a very unnatural way. This is because the footage has been sped up to make the Jeep appear to be going faster.
Other mistake: On the frozen lake, Kara screams, "James!" but he did not mention his name.
Other mistake: When the tyre gets blown off the wheel rim during the chase we see no mechanical workings for the spikes that appear in the next shot before Bond drives off, we see only a tyre coming off, and we assume for maximum grip that all wheels would be fitted with spikes.
Chosen answer: She could have been let go off screen once it was clear that Bond wasn't going to kill Pushkin, so they could formulate the plan in secret.
Captain Defenestrator