Maneuvering entry guidance requires hypersonic vehicles to avoid no-fly zones, pass through waypoints, and safely arrive at the terminal point. This paper proposes a reduced-order maneuvering entry guidance algorithm that simultaneously addresses no-fly zone constraints and waypoints constraints. First, the entry path constraints are transformed into the altitude flight corridor, within which a segmented longitudinal flight profile is designed to satisfy terminal constraints. Subsequently, to further address the guidance issue under complex constraints, especially when dealing with both no-fly zones and waypoints, the Artificial Potential Field (APF) method is introduced. This method constructs a repulsive field based on no-fly zones and an attractive field based on waypoints. By integrating these fields into a resultant force field, a reference heading is generated to guide the entry vehicle in satisfying all geographic constraints. A reduced-order system is formulated through the integration of longitudinal profile and reference heading. Ultimately, the maneuvering entry guidance problem is transformed into a two-parameter search problem, significantly reducing computational burden. Numerical simulations under both nominal and dispersed cases validate the effectiveness and stability of the proposed algorithm.