Cruz said she continued to hear from mayors of other Puerto Rican cities who needed supplies, many of which have arrived on the island but have not been distributed.
Puerto Rico governor, Ricardo Roselló, has said that the island is doing everything it can to help bring aid and supplies for the communities who need it.
In enumerable ways large and small, numerous 3.4 million inhabitants of Puerto Rico struggled through a 10th day with little or no access to basic necessities - from electricity and clean, running water to communications, food and medicine.
Cruz had appealed directly to the president, saying: "So, Mr Trump, I am begging you to take charge and save lives".
"The Mayor of San Juan, who was very complimentary only a few days ago, has now been told by the Democrats that you must be nasty to Trump", the president tweeted.
Duke said, "It's a hard storm to recover from", but she is satisfied with the response. "10,000 Federal workers now on Island doing a fantastic job".
The mayor rebuked the federal response again Friday: "If anybody out there is listening to us, we are dying, and you are killing us with the inefficiency and the bureaucracy".
Cruz appeared to respond to Trump's comments on Saturday when she tweeted in both English and Spanish, "The goal is one: saving lives".
She also tore into Trump for using his Twitter account to punch down on someone in a desperate situation.
But this week she rose to worldwide prominence as a target of Twitter attacks by U.S. President Donald Trump including one tweet Sunday calling her and others "politically motivated ingrates". Since Trump's tweets she has sought to emphasize a message of unity for the good of Puerto Rico in her own activity on the social media platform.
The president opened his speech on tax reform with his comments on the federal government's relief efforts in Puerto Rico.
"I have not received any help, and we ran out of food yesterday", said Mari Olivo, a 27-year-old homemaker whose husband was pushing a shopping cart with empty plastic gallon jugs while their two children, 9 and 7, each toted a large bucket. She says all she did "was ask for help".
The opening sketch wasn't the only part of the premiere that hammered the President regarding Puerto Rico. "I want to just remember them and we're going to dedicate this trophy to all of those people that went through so much, that we love".
According to the briefings by Duke and Bossert, schools in Puerto Rico are reopening soon, 4 ports are open, 8 airports are open, 67 hospitals are operating, 200 gas stations are open, and one of the main priorities is now to restore electrical power.
"When I read that tweet, it was in reference to the mayor of San Juan, not to the people of Puerto Rico", said Rossello, who has made a point of working cooperatively with Trump's administration on aid for the island. "But, you know, that is not who we are here in San Juan".
"Wow, that woman was so nasty", President Trump said to Aidy Bryant's Sarah Sanders, who President Trump congratulated on outlasting "Sean Spicer, Scaramucci, Bannon, Priebus, Gorka, Flynn, Yates, and Tom Price".