How easy is the procedure to replace a cemented crown on a front tooth?

I needed a dental implant on my front tooth. Last week, my new crown was cemented in place. Unfortunately the crown is shorter than both the original tooth and the adjacent front tooth. The oral surgeon suggested that the crown should be replaced, this would require removal of the cemented crown. I am concerned that removing the current crown may affect the integrity of the implant and make the new crown unstable. Should I make due with my less than perfect crown rather than risking damage to my implant?