"You can stay here a day or two, while we figure out something more permanent" Natasha says evenly. If Alex doesn't want to, Natasha won't stop her from leaving but at least for the time being it can resolve one question temporarily. That was the thing about juggling. Just keep one ball in the air long enough to handle the others.

Next ball:

"Are you sure it's best for them to know now? If Islington is looking for you, they'll go after people you know. If they don't know you're alive, they won't have to lie."

Natasha briefly entertains thoughts of faking Alex's death, but she doubts that's any more realistic than getting her out of the city.