He's a social butterfly and I'm an introvert

My boyfriend is a really social type and I am the complete opposite, he finds energy in being around people and I find it completely draining. Our personalities clash and it cause so many problems for us because he always wants to see me and I always want to see him too but I just can't find the energy to host him when he comes over (I live with my parents, he rents a room and isn't allowed guests in a different suburb, we are both 18) and when he does come over it's great because I get to see him but I don't like when he comes over when I'm not in the mood to socialise because I don't want him to get bored or feel un wanted when he's with me. He has been really patient with me so far but lately we have been fighting almost on a daily basis because he doesn't like that I'm an introvert by nature. We've only been together for five months and have more fights then we do meaningful discussions. I also want to add that I have horrible anxiety and as a result am afraid of strangers and people in general and he doesn't know how to be empathetic and has also been described as "heartless" by his own best friend. Does anyone have any advice that may help us? Thank you.

He knows I'm not rejecting what he feels, we talk about it almost everyday. I have been think of solutions that can help both of us but he doesn't try to think of any himself and instead pokes holes in the ones I come up with which cause more conflict then when we started. As for the anxiety, I am not currently receiving any help for it, as a result of my anxiety I find it hard to talk about it to people who actually have the ability to provide me with help, I have asked my parents to help me but that took me seven years to do and they rejected the idea. I also have selective mutism which makes asking for help so much harder.

More good points, thanks again.

Thank you for your advice, you're not the first person to suggest breaking up with him either so maybe it's time to stop focusing on what I feel and start focusing on what I need? Again thank your for your input, I really appreciate it.