Palmer graduated in 1982 from Tufts University with a bachelor's degree in biology and psychology and received his master's of divinity in 1985 from Drew University School of Theology. In 1997, he received his doctor of ministry degree from Bangor Theological Seminary.
He has served churches in North Sullivan, Prospect Harbor, Gouldsboro, and Guilford in Maine.
From 1990 until June 2000, he served as pastor of the Conway and Center Conway United Methodist churches in Conway, and for the past 13 years, he has served as pastor of the Londonderry United Methodist Church.
He has enjoyed many different mission trip experiences including one to Honduras with Church World Service in 1999.
He has also traveled to Maine with the New Hampshire district mission team several times. He regularly volunteers at Anne-Marie House in Hudson.
He will be joined by his wife, Lucy. In their spare time, Wesley and Lucy enjoy their dog, Daisy and traveling. They have two grown sons, Adam and Timothy.