There is a piece of work but no-one wants to do it and it seems that you are the only one that will do it. So the burden will be on your shoulders. What idiom can I use?
For example: This work will be pushed to me or This job will be explode in my hands?
There's an idiom that goes ...
be left holding the baby (North American be left holding the bag) Be left with an unwelcome responsibility, typically without warning. - ODO
I'll be stuck with this job.
Stuck = past tense of Stick (MW verb definition 9)
to saddle with something disadvantageous or disagreeable - "is still stuck with that lousy car"
fall on/upon somebody/something
phrasal verb
1 if a duty or job falls on someone, they are responsible for doing it
The responsibility usually falls on the mother.
More Examples:
The task of telling Mother about the broken vase fell upon Jane.
The job of cleaning up the spill fell upon Tom.
"It will fall upon me to do this task."
i.e., I, and only I will have to do this task (as no one else will do it).
This job will be explode in my hands?
Focusing on the unpleasantness of the job itself, you could say, "This job is a recipe for disaster."
[Collins]
If you say that something is a recipe for disaster, you mean that it is very likely to have unpleasant consequences.
