angrymouse Its so hard when you are not naturally outgoing. I understand completely. Our children do follow our example though, and if we appear to not enjoy seeing friends/avoid social engagements/feel anxious they are likely to pick up on that.
That said I am quite outgoing with lots of friends, and one of my dds is a natural introvert. I respect the fact she like time to herself, and enjoys her own company. I don't force things on her, but I do gently encourage her to see her friends, in a setting where she feels comfortable, and she is enjoying the balance atm. I don't always manage it, and it took me years to understand her. I don't make her go to parties though, or push her into anything at all, and I have never done.
So I guess you need to explore what you feel comfortable doing, what your child feels comfortable doing, and do as much of this as you can.
It may be that your child is like you, she has no need for lots of friends and going out, she may be perfectly content at home. Or it may be that she just hasn't learnt how to do these things, but would like more friends if she knew how. Only you can really see which one she falls into, if she seems lonely or sad, then it is probably the latter.
I know playdates and parties can be agonising, they are for most people actually until you really get to know your new friends, but they do have a function. More importantly they definitely encourage good friendships and return invites, they also do bring excitement, and fun and friendship.
So if you have to move out of your comfort zone for a few hours once a week or fortnight, remind yourself why you are doing it, and how it will help your child not just now, but in the future. Good luck mouse