Quick advice please!!

I've been seeing my boyfriend for a little less than two months now, he's a pretty social person and then there's me with anxiety especially social anxiety. He's been wanting me to go out with him more but usually with his friends too who Im not really familiar with yet. Today he wants me to go on a double date out to eat and the only reason I'd want to go is for him. Besides that I don't want to at all, going out is just not my vibe especially out to eat as I really fear eating in front of people or in public for some reason. Is it worth just going? (unsure what group to post this in so my bad!)