Vidhatr or Brahma rules this lunar day and is good for the laying of foundations for buildings and other things of a permanent nature.
SShukla Dwitiya is the name for the 2nd Tithi (lunar day). It's the 2nd Tithi of Shuklapaksha. It's nature is Mangala Prada, which can be interpreted as "one that augurs auspiciousness". It's good for following works: Upanayana, Deva Pratishta (installation of God's/deity's idol or picture), all Paushtik (developmental) and Manglik (the word "Mangala" can be translated from sanskrit as "auspicious") works, Alankara (ornamentation), ornament making and wearing, starting and ending fasts, activity related to house, government related activity, treasury, army, travelling, music, art, sculpture, marriage. Brahma (a God of creation, first deity of Hindu Triad - Brahma, Vishnu and Shiva) is Devata which rules Dwitiya (according to Muhurta Chintamani and Poorva Kalamrita). Thus, all works that are related to creation or any kind of auspicious undertaking are suitable for this day. As for Brihat Samhita, Shukla Dwitiya is ruled by Vidhata (as per Brahma-Purana - one of Ādityas, son of Daksha and Aditi) or Shrashta (one sacred form of Surya, the Sun). Being Bhadra (that can be translated as "lucky") and ruled by Buddha (Mercury), the 2nd Tithi of Shuklapaksha is suitable for following works or actions: marriage, Upanayana, ornament making and using, clothes; art; travelling by elephant or horses, travel, conveyance; making of roads; oil massage..