with shoes on; without removing shoes
Literal meaning: entering or stepping somewhere while still wearing outdoor shoes. Often used in prohibitions or descriptions of indoor spaces.
Please do not enter with your shoes on.
It's okay to enter this room with shoes on.
rudely; thoughtlessly; trampling on
Idiomatic use, often in the forms 土足で踏み込む or 土足で踏みにじる, meaning to intrude on someone's feelings, privacy, or rights in a crude, insensitive way.
I wish you wouldn't trample on his privacy like that.
It was a remark that trampled on people's feelings.