Try to treat her yourself

You have no idea how close the nearest house is, let alone the nearest maester. You could always take Aerion and ride out to look for someone, but by the time you managed to find someone, it is very likely that this woman will have died. As such, your only feasible option is to try to treat her yourself.

You examine the wound in her throat a little more closely, and you realize she is not actually cut too deep. You have enough knowledge of treating injuries that you may be able to mend her wound on your own.

You quickly bring the wounded woman to your campfire; Aerion shies away from the scent of blood. After placing her down just a few feet away from the fire, you draw your dagger and hold the blade over the fire. When it is hot enough, you lightly but firmly press it against the cut in the woman's neck, effectively cauterizing the wound.

Once that is done, you are able to stitch her neck up. You figure that the flesh will be able to repair itself on its own within a couple weeks. You can be certain of that because you once received a similar wound in your chest, which you also treated yourself.

When the woman is out of danger, you can breath a sigh of relief. Still, you cannot help but wonder who she is. You can always speculate, but you ultimately decide to just wait until she wakes up, and then ask her.

You bring her into your tent, and then you gently strip off her wet clothes. You only do this because you do not wish her to catch a cold by staying in those wet garments. Even so, you cannot help but stare at her full, rounded breasts when they are revealed to you.

Despite that, you decide to be chivalrous, and you divert your eyes from the woman's bust. After undressing her, you cover her with some spare blankets, and you whisper softly "Good night. I pray you live to see tomorrow."

You allow her to sleep on your bedding. You take the soft ground beside her, and then you fall asleep.