I have had some very bad reactions to wasp stings, so they hurt and continue to hurt but I haven’t had such a bad reaction to bee stings.
I have been stung twice by the same bee which had been in the bush by my gate, entered my car when I got out to open the gate and then I leaned on it when I got back in the car. I found it on my shirt when I got to the bathroom, trying to find out what was going on. It isn’t true that all bees leave their sting behind and die if they sting you but honeybees do, I believe.
In your position, I would take some anti-histamine and paracetamol. (The vet has advised us to give paracetamol to dogs with wasp stings).