I am scared to get close to people

People usually say things like "I am scared to get close to people because they'll leave" etc. This seems fair and I get that.

But I feel like the reason I am scared to get close to people is because if they actually tell me some of their vulnerabilities and fears, I don't know how to handle the situation at all. I am terrible at it. I want to try and be stronger so that I can eventually have relationships with a bf/husband where they can lean on me but I am just so afraid of the pressure.

For example, my mom lost her job and has been asking me to help her find one. She has lost her confidence in her self and due to her catastrophic thinking, is often crying and lashing out. I am just starting out in my career so naturally job hunting is something very relevant to me/important for me to know (which is why she thinks she can ask me for help).

Yet when she's crying and asking me to find her a job, I get anxious and scared. I start thinking things like "why is it me who has to find her a job when I'm just starting mine?", "maybe she's right, maybe the job market is terrible and she's going to be unemployed forever" and I find it hard to tell her positive things when her attitude is that hopeless.

When she's talking to me about steps she has already taken in her job search process, I am more than happy to talk to her about it. When she asks for specific help (like resume editing), I am capable of giving it. But in terms of career advice, or life advice... I feel fraudulent if I tell her what to do (it'd just be a guess and wouldn't necessarily guarantee her happiness anyway and I'd feel terrible if she followed my advice and was even more sad).

What is wrong with me? Am I sociopathic for not wanting to hear about people's problems? How to fix this...?