Based on a quick skim she seems more credible than, say, Mehmet Oz (okay, low bar, but bear with me). She seems to have an academic background relevant to the stuff she talks about, and I don't see any obvious sign that she's shilling the usual crap like proprietary supplements, weird exercise equipment/programs, homeopathy, etc..
I tend to stick to her YouTube channel, podcasts, and Twitter feed. You're right, her website is not doing her any favors. But she's a biologist, not a web developer. Hence, going directly to her content sources seems to be the best option.
I assumed someone else is handling her website stuff, so that just means they should try not to make it look like a scam site (subscribe popups on entry, and colorized "cancer" and other keywords). But maybe it's just targeted at different demographics, I don't know.
The first time I heard about her was listening to Tim Ferriss Podcast. She is knowledgeable and know her thing, but I agree her website doesn't inspire trust.