First, this sounds like a lovely clever way to use your silver and enjoy it.
Second, Friend needs to get a grip. You are not using your silver AT her.
Third, I vote for calling her on it, and if she doesn't quit, I'd back away.
The second point made me laugh, I never thought of it that way but it's a totally apt description.
If I had overheard the OP's friend go off about OP humiliating her with the show of silver, I would definite think something else was going on. Because I would not believe just a one-off silver thing would set off that kind of reaction.
My point is that the friend seems to be bothered by much more than the silver-served dessert, and since OP says this is not unusual for friend, I would suggest taking a closer look at those other situations where friend goes off to see what the pattern is. Then consider having a heart to heart. But the dynamic probably won't change until the friend "owns" her jealousy or envy or whatever issue causes her to not enjoy a fun dessert gathering.
In my own experience, there's a couple we're friends with who travel ALL the time, on beach vacations, big multi-country trips, cruises, ski trips, you name it. they're always posting photos and talking about how great it was, or you must go to X country or do whatever special trip. I love to travel but cannot do much of it due to work and family obligations. I'm totally envious but I would never dream of telling them they are making my life seem petty and small with all their exotic experiences. How could their travel be LESS about me?