For millennia people have read Biblical text and then made an vast number of interpretations. They used numerous methods for making these interpretations, some of which were rigorous and insightful, but unfortunately, others were highly questionable and neglected to take into consideration a number of relevant factors.
To remedy this, modern Exegesis aims to provide a standardized, scholarly, critical interpretation and explanation of written text. Its purpose is to present a case for how the original author intended their text to be understood by using a methodology that incorporates a number of vital considerations.
An Exegesis paper is a specified process that demonstrates how an Exegete (like yourself) went about his/her Exegesis and the factors they took into consideration in doing so. Because of its standardized format, the process allows scholars (also like yourselves) to read the Exegesis of others and comment on their evidence based merits/shortcomings in your own papers and publications. This provides a strong element of accountability, rigor and peer review, which minimizes misuse of the text to achieve an agenda.
Exegesis is important to Biblical scholars because it allows us to critically interpret and attempt to explain the meaning of Biblical text - and be rigorously accountable for that interpretation. Also, in a world where near universal tertiary education is the norm for many Western countries and is the goal of many developing countries, Exegesis provides modern persons an evidenced based, scholarly approach to reading Biblical text. While not a perfect process, it is certainly the "best boat afloat" for achieving these goals.