1. be heavily criticized for something (especially in the media)
the company has received a lot of bad press lately
If an issue or an action receives a lot of media coverage that presents it in a bad light, it can be said to be 'getting a lot of bad press'. It is obvious that a terrible or tragic incident would receive coverage like this, but if something is said to have received 'a lot of bad press', the idea is usually that this might have come as a surprise. If something goes wrong with an initially good idea or issue, it might get some 'bad press' that damages its reputation without it having a chance to prove itself worthy of consideration.