WASHINGTON — The government’s new consumer finance watchdog agency is prepared to sue companies that offer unfair or deceptive mortgages and credit cards, its director said Tuesday.

Addressing a congressional panel, Consumer Financial Protection Bureau Director Richard Cordray defended his appointment to the post and assured critics that the agency will work with financial companies whenever possible.

But “we will not hesitate to use enforcement actions to right a wrong,” Cordray told the Republican-controlled subcommittee of the House Oversight Committee.

Cordray was addressing Congress for the first time since his recess appointment by President Obama earlier this month.

He faces questions about the bureau’s actions and the legitimacy of his appointment.

Republicans call the appointment illegal because the Senate technically was not in recess.

Republicans were holding minutes-long sessions during their vacation to prevent the Obama from making appointments.

The CFPB might lack credibility in part because it is run by a director whose “appointment was constitutionally questionable,” said Rep. Patrick McHenry, R-N.C., chairman of the subcommittee.

McHenry is a major beneficiary of political donations from the payday lending industry, which will face much tighter oversight because of Cordray’s appointment.

Cordray said that he is aware of objections to his appointment, but “I’m in the job, it’s an important job, it’s a big job, it commands all of my time and attention, and all I can do is try to carry out the responsibilities.”

Oversight Committee Chairman Darrell Issa, R-Calif., asked whether the agency has made plans for what to do it Cordray’s nomination is invalidated by a legal appeal.

“We have to carry out the intent of that law,” Cordray replied.

“Either we do or we don’t. It seems to me that the right answer is that we do,” he said.

Senate Republicans had refused to confirm Cordray because many opposed the creation of the agency.

They wanted it run by a bipartisan commission and pledged to block any nominee until the powers of the director were reduced.