I put 'very' because I'm pretty detached from my own work. For my current project I'm rather picky about what criticism I take due to the nature of the story, but negative feedback doesn't get me personally upset. Overall though, I just see my drawings as that, drawings. They're not alive, they don't have feelings, and they shouldn't be treated with the same respect as a living person. Someone could roast the shit out of my work, and I'd probably find it funny, or add to the mockery. I was even joking on Discord about putting a quote from my comic's BWW (Bad Webcomics Wiki) article on the back of the book when/if I get it printed.
Not gonna lie though, when I was a teen I was sooo thin skinned. Any kind of negative feedback made me so offended, which was sad, but it was too bad because every time I got a critique that pissed me off I started working to improve that thing out of pure spite. "Saying my heads suck, huh? No they don't, I'll show you they don't!" -vigorously studies skull anatomy-
As far as personal criticism, I can take it pretty well, but I don't know how to nor am I interested in applying it most of the time. I've spent a good chunk of my childhood trying to change to "fit in", and I just don't give a shit anymore. If I suck, at least I'm comfortable with myself with doing it, if I want to change something about myself I'll make the decision on my own.