Maryam, a senior functionary of the PML-N party said in a tweet that she had not only been threatened but those issuing the threat had also used abusive language.
Prime Minister Khan on Saturday won a trust vote in the National Assembly, securing 178 votes in the 342-member lower house of Parliament during a special session.
Maryam said that that she will not leave the country to join her father in London for her treatment despite the Imran Khan government's apparent offer to go abroad.
The general populace is also overburdened due to the rise in prices of essential commodities too; especially the hike in wheat flour, the staple diet.
While accusing the Imran Khan government of taking "full advantage" of the secret ballot in the past but was now against it when it can see itself on its way out.
Sharif's seized house in Murree is registered in the name of his late wife Begum Kulsoom Nawaz, the application stated, adding it was purchased before the date mentioned in the reference.
Her remarks came in response to Prime Minister Khan's recent disclosure that he was aware that the agencies tap his phone calls.
PM Imran Khan 'keeps popping up (for attention), his role is useless, and no one cares about him,' Pakistani media quoted Sharif during her address in the northern areas.
In a recent interview, Sharif spoke about the alleged inconveniences she had to face when she was incarcerated after being arrested in the Chaudhary Sugar Mills case last year, reported Geo News.
Maryam's husband Capt (retd) Mohammad Safdar was earlier arrested in Karachi for allegedly violating the sanctity of Quaid-e-Azam mausoleum.
The arrest comes after a first information report was registered against Maryam, Safdar and 200 others for violating the sanctity of the Quaid's mausoleum.
So far no official announcement has been made regarding the arrest by the police.
Maryam further hit out at the government for neither being constitutional in spirit and neither did it have any legal basis.
Dauther of Nawaz Sharif, Maryam, who was at the Islamabad High Court for a hearing of an appeal against her conviction in the Avenfield property reference, was talking to media at the court premises.
PML-N has protested inclusion of terrorism charges in the FIR, saying this has been done at the best of PM Imran Khan.