Question: The Presbytère is an architecturally important building in the French Quarter of New Orleans, Louisiana which stands facing what  National Historic Landmark?

Context paragraphs:
Hermann-Grima House: The Hermann-Grima House is a historic house museum in the French Quarter of New Orleans, Louisiana.  The meticulously-restored home reflects the "Golden Age" of New Orleans.  It is a handsome Federal-style mansion with courtyard garden, built in 1831.  It has the only extant horse stable and 1830s open-hearth kitchen in the French Quarter.

Printing House Row District: The Printing House Row District is a National Historic Landmark District encompassing four architecturally important buildings on the 300 through 500 blocks of South Dearborn, South Federal and South Plymouth streets in the Loop community area of Chicago, Illinois.  It was listed on the National Register of Historic Places as South Dearborn Street – Printing House Row Historic District and listed as a National Historic Landmark as South Dearborn Street – Printing House Row North Historic District on January 7, 1976.  The district was designated a Chicago Landmark on May 9, 1996.  The district includes the Monadnock Building, the Manhattan Building, the Fisher Building, and the Old Colony Building.  The district overlaps significantly with the Printers Row neighborhood, and is not the same as South Loop Printing House District.

The Presbytere: The Presbytère is an architecturally important building in the French Quarter of New Orleans, Louisiana.  It stands facing Jackson Square, adjacent to the St. Louis Cathedral.  Built in 1791 as a matching structure for the Cabildo, which flanks the cathedral on the other side, it is one of the nation's best examples of formal colonial Spanish architecture (with many neo-Renaissance elements).  It was designated a National Historic Landmark in 1970, and is now a property of the Louisiana State Museum.

French Quarter Festival: French Quarter Festival is a free, annual music festival held in early April, located in the historic French Quarter of New Orleans, Louisiana.  Founded in 1983 with the first festival held in 1984, the festival features primarily New Orleans music, such as jazz, blues, and zydeco from hundreds of local musicians, as well as food from dozens of New Orleans restaurants.

New Orleans Jazz Museum: The New Orleans Jazz Museum is a music museum in New Orleans, Louisiana dedicated to preserving and celebrating the history of jazz music.  Originally a separate museum, the collection is now affiliated with the Louisiana State Museum.  The New Orleans Jazz Museum is currently located in the Old U.S. Mint building on 400 Esplanade Avenue, New Orleans, Louisiana in the historic French Quarter neighborhood.

Louisiana State Bank Building: Louisiana State Bank Building is a historic commercial building at Royal and Conti Streets in the French Quarter of New Orleans, Louisiana.  Built in 1820, it was the last structure designed by nationally prominent architect Benjamin Henry Latrobe, who died from yellow fever in New Orleans before its construction.  It has also been known as the Manheim Galleries building, from a long-time tenant.  More recently, it has housed "Latrobe's", an event venue.  It was declared a National Historic Landmark in 1983.

Madame John's Legacy: Madame John's Legacy is a historic house museum at 632 Dumaine Street in the French Quarter of New Orleans, Louisiana.  Built in 1788, it is one of the oldest houses in the French Quarter, and was built in the older French colonial style, rather than the more current Spanish colonial style of that time.  It was declared a National Historic Landmark in 1970 for its architectural significance.  The Louisiana State Museum owns the house and provides tours.

St. Patrick's Church (New Orleans, Louisiana): St. Patrick's Church is a Catholic church and parish in the Archdiocese of New Orleans, Louisiana, United States.  The parish was founded in 1833, and the current structure was completed in 1840.  It is the second-oldest parish in New Orleans (the oldest parish is St. Louis Cathedral), located upriver from the French Quarter at 724 Camp Street in what is now the Central Business District.  The building, a National Historic Landmark, is one of the nation's earliest and finest examples of Gothic Revival architecture.

Jackson Square (New Orleans): Jackson Square is a historic park in the French Quarter of New Orleans, Louisiana.  It was declared a National Historic Landmark in 1960, for its central role in the city's history, and as the site where in 1803 Louisiana was made United States territory pursuant to the Louisiana Purchase.  In 2012 the American Planning Association designated Jackson Square as one of America’s Great Public Spaces.

French Quarter: The French Quarter, also known as the Vieux Carré or the Vieux Carre Historic District, is the oldest section of the city of New Orleans.  After New Orleans ("La Nouvelle-Orléans" in French) was founded in 1718 by Jean-Baptiste Le Moyne de Bienville, it developed around the "Vieux Carré" ("Old Square" in English), a central square.  The district is more commonly called the French Quarter today, or simply "the Quarter," related to changes in the city with American immigration after the Louisiana Purchase.

Supporting paragraphs: The Presbytere Jackson Square (New Orleans)
Answer: Jackson Square