A ‣ Types of problems and difficulties 
There are many words for different types of difficulties. Chaos is a state of total confusion, where there is no order at all. A disaster is an event which causes great harm or damage. If you are facing a dilemma or are in a dilemma you are in a situation where you have to make a difficult decision between two things.
The earthquake was a dreadful disaster for the country. The transport system was in chaos for some time afterwards. The government were faced with a dilemma: start reconstruction work at once or wait until the likelihood of aftershocks had passed.
to be in a fix = be in a difficult situation
to be in a tight corner = be in a situation that is hard to get out of
to be in a muddle = be confused / mixed up
The word challenge puts a positive slant on a problem situation in that it focuses on the fact that it needs great mental or physical effort in order to be done successfully and therefore tests a person's ability.
B ‣ Specific difficulties 
You can be badly affected1 by all sorts of things, from those that are mildly irritating2 to the intensely annoying3.
1 things can have a negative impact on you
2 slightly annoying
3 extremely annoying
Your plans may be disrupted. [prevented from continuing as intended]
Negotiations or a building may collapse. [fail because of a lack of support]
You can be deprived of something you value. [have something taken away from you]
Someone's heart can be broken. [made extremely sad]
Your life may lack something that you would like. [not have (enough of) something]
The nouns related to the words in this section are effect, irritant or irritation, annoyance, disruption, collapse, deprivation, heartbreak and lack.
C ‣ Idioms about dealing with problems and difficulties 
to take a back seat [not to do anything; let others act instead] ≠ to take the bull by the horns [act positively to face and attack the problem]
to stir things up [do/say things that make the situation worse] ≠ to pour oil on troubled waters [do/say things that calm the situation down]
I can't face (the thought of) clearing up all this mess today. [don't want to deal with]
I didn't know what to do but I thought it would be best just to lay my cards on the table. [state exactly what my position is]
This has to be done by next week; we must get our act together before it's too late. [organise ourselves to respond; infml]
We need a proper investigation to get to the bottom of things. [find the true explanation]
It's quite difficult to get people to sit up and take notice. [make them pay attention]
I'm trying to get a grasp of what's happening; it's not easy. [find out / understand]
D ‣ Idioms relating to changes in problem situations 
The tide has turned for us; better days are ahead.
We can see the light at the end of the tunnel at last. [see that a difficult situation may be ending soon]
I'm afraid we've just come to a dead end with our plans.
I think I've reached a turning point in my career.
The government and the unions have buried the hatchet for the time being. [made peace / stopped fighting each other]
All that trouble last year was just swept under the carpet in the end. [ignored / deliberately forgotten, without solving it]