He is moving fast/very keen - not sure if I should be worried or pleased?

Known each other for 10 months, but only be dating for just over a month. The first time I met him the chemistry hit me hard, but I ignored it for the time being as I was involved at that point in my life. When I became single again 8 months later, he told me he liked me. I was reluctant to start dating again so soon, but thought we could have fun/take it slow. I also have a lot going on in my life just now - I have a very ill (terminal) family member so we are all trying to spend time together as much as possible and I've just graduated so job hunting etc is a bit of a nightmare. Sometimes, if I had plans with friends (this is a few weeks in to dating) he would more or less try to invite himself - and I would have to clarify I just wanted time with them, but would introduce him at some point. Since then we've spent more time together and it's been great. I slept with him sooner than I had intended to (after one month). Personally, I would not/have not slept with someone so soon before, but the attraction is so strong that it felt right. When it happened we ended up not leaving the bedroom until later the next day, and then spent the whole of that day together as well. It eventually hurt me to leave him because I missed him instantly, but the next day I was feeling glad to have my own space again. I had made plans with family, and he asked if I wanted to meet up with him again at some point. Instead of being excited I find this stressful, 1) because I need to spend time with family right now (which I told him), they are my number 1 priority and 2)...I need me time! When I joked that he'd chosen the wrong person to spend time with, he assured me this wasn't the case and said he likes a good challenge anyway We are not in an official relationship and I worry about t aking that step. Opinions?

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