1.Mumei(?) or Emiya(?) (whatever) planned to make Hakuno summon Nero - PROBABLY
The question mark behind the name means his identity is not determined, I'm too tired to add these question marks and if you know its meaning that's OK.
Well, I thought Mumei(?) was an enemy program at first until I saw him smiling at the very end of the episode. It looks like he planned everything and it goes well.


It's unlikely Mumei(?) is trying to kill Hakuno (He would aim at Hakuno's head or heart if he wants Hakuno dead.)
Instead, he shot Hakuno's stomach in mind, It's not lethal and he is guiding Hakuno to the Limbo (Where Nero's theatre is located)

When Hakuno reaches the theatre, obviously Mumei(?) is pushing Hakuno to get the sword(Aestus Estus). That explains why Mumei(?) is walking to Hakuno without attacking him.
When Hakuno is reaching the Aestus Estus, Mumei(?) is acting like the bad guy for the last time, he finally makes Hakuno get the sword and summon Nero.
I saw some comments on 4chan saying that this scene of the first episode is similar to the SN. However, after comparing the scenario in the EX and SN. I would say it's totally different.
Although either of these work has servants hunting the protagonist, Cu in SN is actually trying his best to kill Shirou, his attacks are lethal in the first place (Stab Shirou's Heart, stab Shirou's head in the second attempt)/ Cu never stop attacking Shirou.
Compares to Cu's action. Mumei(?) seems more 優しい, and you can notice the differences here.