If he, sallallaahu ‘alayhi wa sallam, punished someone for a crime, he did not blame that person and forbade others from cursing him

Buraydah ibn Al-Husayb (a Companion) reported: after mentioning
the story of Maa’iz:

“The woman from Ghaamid came and said: ‘O Messenger of Allah, I have committed adultery, so purify me.’ The Prophet of Allah, sallallaahu ‘alayhi wa sallam, turned her away. The next day she returned, and she said: ‘O Messenger of Allah, why do you turn me away? Perhaps you want to turn me away as you did to Maa’iz? By Allah, I am pregnant.’ The Prophet of Allah, sallallaahu ‘alayhi wa sallam, said: ‘If so, then wait until the baby is born.’ She then came later with the baby wrapped up, and she said: ‘I have given birth to him.’ He, sallallaahu ‘alayhi wa sallam, said: ‘Go and  breastfeed him until he is weaned.’ (1) So she later came with the baby, and he had a piece of bread in his hand. She said: ‘I have weaned him, O Messenger of Allah, and now he eats food.’ The Prophet of Allah, sallallaahu ‘alayhi wa sallam, gave the baby to a man from the Muslims, and ordered for her to be buried up to her chest, and

then he ordered the people to stone her. Khaalid ibn Al-Waleed came with a rock and threw it at her head, and some of the blood splashed on him, so he cursed her. The Prophet of Allah, sallallaahu ‘alayhi wa sallam, heard his curse, so he, sallallaahu ‘alayhi wa sallam, said: ‘Calm down, Khaalid! By the One in Whose Hand is
my soul, she has repented such a repentance that if a tax-collector1 were to repent as such, he would be forgiven.’ Then he, sallallaahu ‘alayhi wa sallam, ordered her to be removed, and he prayed over her, and they buried her.” (2) 

In another narration, ‘Umar (a Companion and the second Caliph) said to the Prophet of Allah, sallallaahu ‘alayhi wa sallam: ‘Will you pray over her and she has committed adultery?’ The Prophet of Allah, sallallaahu ‘alayhi wa sallam, said: “She has repented such a repentance that if it was divided amongst seventy men from Madinah it would have been enough for them. Is there a better repentance than for her to sacrifice her life for Allah?” (3)

It could be problematic that in this narration the Prophet of Allah, sallallaahu ‘alayhi wa sallam, did not stone her until she breastfed her baby and then weaned him. In the first narration, a man from the Ansaar offered to take care of the child’s breastfeeding, and in the second narration, they stoned the woman immediately. The answer is as An-Nawawi said: 

“These two narrations oppose each other outwardly. For the second one says that
he waited until after the child ate bread, and the first narration indicated that he
stoned her immediately after the birth. The meaning of the first narration should
be interpreted to conform to the second narration, for it is the same story and the
same woman, and both narrations are authentic. The second narration is explicit,
while the first one is not. So the statement in the first narration: ‘A man from the 

Ansaar said: I will take responsibility for his breastfeeding’, should be interpreted
to mean that this was after his weaning. So he intended by breastfeeding: taking
care of and raising the child, and he used the term ‘breastfeeding’ as a figure of
speech.’” (4) 

1.  This refers to those who used to forcefully take taxes from people, which is a major sin in Islam> 

2. Reported by Muslim (1695).

3. Reported by Muslim (1696). 

4. The explanation of An-Nawawi on the book of Muslim (202/11).