Hi, pinkie, welcome aBoard! Google gave me 145 hits on obsequient--including Father Steve!:
http://www.google.com/search?hl=en&lr=&ie=ISO-8859-1&q=obsequient

But, bad news from Onelook, Sweetie:
Sorry, no dictionaries indexed in the selected category contain the word obsequient.

Perhaps you meant:
obsequent (found in 7 dictionaries)

http://www.onelook.com/?w=obsequient&ls=a
This sort of rang a bell with me; I thought we had discussed this word here before. But a search turned up nothing.