Under the darkness it was really hard to tell how deep the wound was or how bad it was. Sophia relied on her senses to cope with the extent of her injury.
For the sake of testing for poison, Sophia had to sit down and feel out the injury in her arm. Within two minutes, Sophia concluded that there was indeed a poison however it was not lethal. Nor was it interfering with her mission that much.
The potency of the poison was medium and its main job was to increase pain in the infected. Its job was to amplify the pain by threefold so even though the arrow brushed past Sophia's arm, the place it touched burned and hurt like crazy.
In her past life, Sophia did not encounter this drug so she needed time to scope out the potency of the poison before doing anything more. Luckily, it was only to amplify the pain, if it were anything else that was lethal or more bothersome, Sophia really would've been stumped.