I have a quick question because I'm not sure what to think of this.

I don't react well to people being upset at me or being disappointed when I think it's my fault that they're in a bad mood. This has caused problems in my current relationship when my partner gets upset at something I did or didn't do and I start "freaking out" (their words) after they express something really negative because and then I feel like I let someone down. Their response is that they feel like I don't let them feel negative emotions because they feel like they have to worry about mine.

Is it normal to react to people in that way or am I supposed to just accept that I let someone down and not feel anything about it?