(Releads, updates with appointment) BUDAPEST, April 23 (Reuters) - Hungary appointed a new health minister on Monday who promised to continue with her predecessor's painful reforms but said she would fine tune and possibly fix some of the measures already being implemented. Agnes Horvath, who previously served as state secretary at the Health Ministry, was sworn in on Monday to replace Lajos Molnar, who resigned earlier this month after mounting criticism from both within the ruling coalition and opposition. "My main task is to stabilise the changes we have (already) pushed through, monitor their impact and fix the possible errors," Horvath told parliament's health committee prior to her appointment. "It's going to be fine-tuning." Horvath said she would not go back on any of the earlier changes, including doctor and hospital visit fees, hospital closures, and drug price hikes, which have generated controversy and dragged down the popularity of the governing coalition. Horvath, like Molnar, was nominated by the Free Democrats who are the junior party in a ruling coalition with the Socialists. The changes have cut government health expenditure and contributed to a reduction in Hungary's budget deficit, which in 2006 was the biggest in the European Union at 10 percent of gross domestic product.