Gift by Indian To NRI Relative

I have a related question.I am a resident of India and my daughter is an NRI being a citizen of USA.I want to sell a property in India which is in my name and pay the capital gain tax thereafter and then through a gift deed deposit the amount in NRO bank account of my daughter.Can she remit the money to her USA bank account without TCS under USD 1 Million limit of USA.Logically ,since the donor has paid all the taxes payable in India and can submit the proof of the same to the Bank,TCS should be attracted.For views please

some typo errors in my query which is reproduced below with corrections .Please ignore my earlier query

I have a related question.I am a resident of India and my daughter is an NRI being a citizen of USA.I want to sell a property in India which is in my name and pay the capital gain tax thereafter and then through a gift deed deposit the amount in NRO bank account of my daughter.Can she remit the money to her USA bank account without TCS under LRS limit of USD 1 Million per annum.Logically ,since the donor has paid all the taxes payable in India and can submit the proof of the same to the Bank,TCS should not be attracted.For views please