commonly, when we say "由于时间关系“(because of the time limit), it means we can't take long time to do the follow things or prepare something well, eg, 由于时间关系我只能给你10分钟吃饭=because of the time limit, I only can give you 10 minutes for dinner.
so "由于时间关系我也准备好了”,I can't understand it has any sense, if say"由于时间关系我没有准备很好“(because of the time limit, I haven't prepared well)will be understood,but it will not fit the context.
I think should be "我已经准备好了,只要等时机成熟了我就……”(I am ready.only wait the time is right,I will……)