I find one can be mentally psyched out if they know the person is in a fairly higher ranked division then themselves.. i know i do... i play with gold and plats all the time in normals.. but when i do a lolskill.net search and see that im against a diamond 3 player i tend to play alot tighter then im used to and that in itself cause me to miss mistake the diamond player might have made cause they are pressing me cause they may assume or know what my basic MMR is..
My only advice would be to play the game out, listen to what teammates may have to say in regards to how play, build, etc (as long as its constructive). Dont lose your head if the guy is face stomping u.. Every loss is an opportunity to learn... after a while u will be surprised how much the gap will get smaller.. not saying you will be going from Bronze 5 - gold 5 over night.. we all know elo hell is a thing.. but if you buckle down and push thru you will see how much better playing with and against better players will do for your game..