Is this emotional manipulation?

The person I’m dating suffers from anxiety & it’s something I have very little experience with so I’m looking for help so I don’t end up being an emotional crutch for him. The other night I was over at his place and he was getting ready for bed & I told him I wasn’t sleeping over, then he said he wants me to sleepover because he’s having anxiety I offered to sleepover. Then another time we hung out and everything was fine shortly after I left I tweeted a meme about men that I thought was harmless (we are not in a relationship but we are exclusive) and he texted me saying the thing I tweeted caused him to have anxiety so I deleted it. Is that how anxiety works or is he manipulating me? He’s defínete a little insecure I’ve seen it but idk if this is a red flag of emotional manipulation