That rule is talking about both short and long movements
As adjusting your position (moving an immediate distance) take no action (pg.208):
As a part of another action, a character can
adjust his position—stepping back a few
feet while using an ability, sliding over in
combat to take on a different opponent to
help his friend, pushing through a door he
just opened, and so on. This is considered
an immediate distance, and a character can
move this far as part of another action.
While both short and long moves take an action, short actions being difficult 0 Speed tasks:
In a round, as an action, a character
can make a short move. In this case, he
is doing nothing but moving up to about
50 feet (15 m). Some terrain or situations
will change the distance a character can
move, but generally, making a short move
is considered to be a difficulty 0 action. No
roll is needed; he just gets where he’s going
as his action.
While a long move is also an action, but a difficult 4 Speed task:
A character can try to make a long
move—up to 100 feet (30 m) or so—in one
round. This is a Speed task with a difficulty
of 4. As with any action, he can use skills,
assets, or Effort to decrease the difficulty.
Terrain, obstacles, or other circumstances
can increase the difficulty. A successful roll
means the character moved the distance
safely. Failure means that at some point
during the move, he stops or stumbles (the
GM determines where this happens).
Finally, if you also make a Speed 4 check, you may take both a short move and an action:
A character can also try to make a short
move and take another (relatively simple)
physical action, like make an attack. As with
the attempt to make a long move, this is a
Speed task with a difficulty of 4, and failure
means that the character stops at some
point, slipping or stumbling or otherwise
getting held up.
So, as long as you don't use that last option and simply make a short or long movement, you should be safe against attackers. However, You may also make an attack and move away while also being safe, as you are permitted to fight while engaged without any risks of getting attacked, you simply must make a difficult 4 Speed check before you can do that.