Their saying: “The left hand does not harm you” and the response, “Your left hand is like your right”

There is a prohibition on giving and taking with the left
hand in the report narrated by Ibn Maajah (3266) from Abu Hurayrah (may
Allah be pleased with him), according to which the Prophet (blessings and
peace of Allah be upon him) said: “Let one of you eat with his right hand
and drink with his right hand, and take with his right hand and give with
his right hand, for the Shaytaan eats with his left hand, drinks with his
left hand, gives with his left hand and takes with his left hand.”

Classed as saheeh by al-Albaani in Saheeh Ibn Maajah. 

And Muslim (2020) narrated from Ibn ‘Umar (may Allah be
pleased with him) that the Messenger of Allah (blessings and peace of Allah
be upon him) said: “No one among you should eat with his left hand or drink
with it, for the shaytaan eats with his left hand and drinks with it.” And
Naafi’ used to add: “and he should not take with it or give with it.” 

Al-Shawkaani (may Allah have mercy on him) said in Nayl
al-Awtaar (8/183): His words “No one among you should eat with his left
hand” signify that it is not allowed to eat or drink with the left hand, and
this prohibition has the sense of being haraam, as is established in usool;
it should not be interpreted as meaning that it is no more than makrooh
unless there is some indication to that effect in the context. Al-Nawawi
said: This applies if there is no excuse. If there is an excuse which means
that a person is unable to eat or drink with his right hand, because of
sickness or injury and so on, then it is not disliked to use the left hand.
End quote. 

Based on that, if a person offers something with his left
hand for a reason, there is nothing wrong with it, and if he says in that
case, “my left hand does not hate you,” perhaps it would be more correct for
him to say “my right hand does not hate you”, because he has an excuse for
not giving it to you with the right hand, and it does not have anything
against you. Or perhaps the meaning is that the left hand also loves you and
would like to serve you. 

When the one who takes says “Your left hand is like your
right,” he means that it does not matter with which hand you give. If there
is an excuse there is nothing wrong with saying that, but if there is no
excuse, it is wrong to say that because it is contrary to sharee’ah. The
left hand is not like the right hand; rather it is forbidden to give with
the left hand as stated above. 

Shaykh Ibn ‘Uthaymeen (may Allah have mercy on him) was
asked: What is the ruling on a man saying to his brother, “Your left hand is
like your right,” if he cannot give him something with his right hand, so he
gives it to him with his left hand and he says to him, “The left hand does
not hate you”? We know that there is no one whose left hand is like his
right except Allah, may He be glorified and exalted. 

He replied: Whatever the case, this depends on the intention
of the one who says it. If he says: “ Your left hand is like your right,”
meaning that it is used instead of the right hand when he is not able to use
it, in that case there is nothing wrong with it and I do not think that
anyone intends to liken any created being to the Creator in this regard. As
for the saying “The left hand does not hate you,” I do not know what it
means. 

Questioner: O Shaykh, this is well known. For example, a
person gives something to another person with his left hand, and so that the
other person will not be offended, he says, “The left hand does not hate
you,” and the one who takes it says: “Your left hand is like your right.” 

Shaykh: We have never heard this before. It is not something
that we use in our community here. But I do not think that the man intends
to liken any person to Allah, may He be glorified and exalted. 

End quote from al-Fataawa al-Thalaathah. 

And Allaah knows best.