All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad, sallallaahu ‘alayhi wa sallam, is His Slave and Messenger.
According to the preponderant opinion of the scholars, your Wudhoo’ is valid and you are not required to repeat it. That is because the blood which comes out from places other than the two excretory organs does not invalidate Wudhoo’.
The blood which comes out from acne, if it comes out without pressing the pimples, is pardoned and you are blameless because it is difficult to avoid. This is applicable whether there is a little or large amount of blood, unless there is a very large amount that makes you embarrassed to stay among people. In the latter case, it is recommended to wash it. On the other hand, if blood comes out due to either pressing or peeling the skin, you are blameless for the small amount but you are required to wash it if there is a large amount because you are the reason behind this.
The Shaafi‘i scholar Shaykh Sulaymaan ibn Mansoor Al-Jamal said: "Blood which comes out from pimples or wounds is pardoned, even if it is a large amount, because it is a widespread condition among people. Nevertheless, if one was the reason behind the coming out of blood, a large amount is not customarily pardoned."
We advise you to wash your face gently in Wudhoo’ in order not to make washing a reason for the blood coming out.