One possible solution is to route the noodle from under the bail/clip. Two ways to do this that I've worked with- one is to replace the V brake with one that has the clip attached to a rotating nipple, then it can accommodate whatever noodle entry angle needed. The other is to grind off the clip's pivot rivet and re attach the noodle upside down with a small bolt and two nuts (locked against each other). Sometimes some recurving of the noodle helps to reduce the amount of it's routing awkwardness.

here's a shot of a bike I made a couple of years ago with a similar challenge and the upside down clip.

LM- Why would you show a shot of a bike with a completely different cable routing (men's bike with top tube routing) and also have the shot show the noodle not even seated fully in the clip? Not really pertaining to the OP's situation, even closely... Andy