Andrew Murray emphasizes the profound calling of every believer to be a priest, highlighting that through Jesus Christ, all redeemed individuals are granted the privilege of intercession. He explains that the priesthood involves both a Godward and manward responsibility, where believers are to draw near to God and represent the needs of others before Him. Murray stresses the importance of holiness and separation from the world, as well as the necessity of consecration through the blood and spirit of Christ to fulfill this calling. He encourages Christians to embrace their role as intercessors, living wholly for God and actively praying for the salvation of others. Ultimately, he calls for a commitment to the ministry of intercession, assuring that through Christ, believers can approach God with confidence and power in prayer.