Hi unpopular,
Welcome to T2W. Unusual username, perhaps that will change when you've made new friends here!
Regarding your question, I recommend being wary of using words like 'should' and be especially wary of others who use words like 'should'! There are exceptions but, as a general rule of thumb, there are no 'shoulds' in trading - or very few at least.
Trend lines and moving averages frequently contradict themselves across different time frames. This is normal and to be expected. The only way that all time frames would consistently display trend lines or MAs that complement one another would be if the instrument you're trading only ever trended in a perfectly straight line. None do that I know of. If you ever find one, please tell me, as that will be an absolute dream to trade!
Many traders will look at two or more time frames and only trade in the direction of the longer term one. So, for example, if the daily time frame shows prices trending up, the trader will wait for the next opportunity to go long. They may enter their trades on the 60 minute time frame which, for the sake of argument, may be trending down. Within the context of the longer time frame, this is known as a pull back. As and when the 60 min' reverses back up, the trader will then take the long trade. If you've not yet seen it, this thread may be of interest as it expands on this idea in greater detail:
The 3 Duck's Trading System.
Tim.