A catheter for mapping and/or ablating a region of the heart includes an intermediate section that is connected to a tip assembly at a preset angle by a flexible preshaped section that is more flexible than the intermediate section. The flexible section may absorb displacement force applied to the tip assembly, such as when the tip assembly encounters uneven tissue surface, without displacing the intermediate section. The flexible section prevents excessive force from being applied to the tip assembly, reducing the risk of any of the following: a) mechanical perforation, b) steam pop, c) burying the tip assembly in the myocardium resulting in high temperatures, low energy delivery, thrombus formation and char formation.