Chevre cheese pasta sauce

https://www.theveggietable.com/blog/vegetarian-recipes/sauces/goat-cheese-sauce/

1- Made it with stock. The flavour was good but the texture was strangely grainy. Would it be different made with cream?

¾ c soft goat cheese (1/4)
1 cup cream or stock (1/3)
1 garlic clove, smashed (1 tsp)
2 tsp minced rosemary, basil, or thyme (3/4)
½ tsp salt (pinch)
pepper

1. Mash the cheese into the liquid and stir in the garlic. 
2. Heat over medium heat, stirring regularly, until cheese melts and the liquid simmers.
3. Cook the sauce for 5-15 minutes – the longer you cook, the thicker it will be.
4. Season with minced herbs and pepper and serve immediately.