Saddle with
Definition 1 of 1
Pro Tip 1/3Negative Connotation
The phrase often implies unfairness or inconvenience imposed by others. 
I was saddled with the task of cleaning up after the party.
Pro Tip 2/3Not Literal
'Saddle with' is metaphorical. It doesn't mean placing a saddle on someone literally. 
We were saddled with an impossible deadline.
Pro Tip 3/3Emotional Weight
Can imply emotional stress, not just physical or financial burdens. 
He's been saddled with guilt since the incident.