Cold sore?

I had this forming today on my lip and I assumed it was a pimple because there’s a pimple in the corner of my mouth but Mum thinks this one is a cold sore. We bought some cream for it.

I was poking it all day so it’s probably flared up

But I kissed my partner a lot today and also gave him a blowjob, should I be worried about passing it on 😬