Don't use a paper clip! That's extremely dangerous!
If the black thing is a relay then the coil is not energized for some reason so the contacts are not pulled together to close the circuit (what the paper clip does). Can't say what's wrong, but if the relay is OK then something is not right with the control circuit to the relay. Maybe just a lose wire, maybe something more complicated. Contact an electrician, it takes only a few minutes to analyse and fix the issue for him/her. It may cost some extra, but better safe than sorry. In the meantime, you should not use your machine at all and make sure the paper clip is safely removed.