: Organic poultry need high-quality proteins in their diet. The EU’s organic regulation forbids synthetic amino acids; therefore, soybean, with its balanced essential amino acid content, has become the most used protein source, though much of it is imported from non-EU countries. Soybean, however, has some important problems related to sustainability and crop competition; therefore, it must be substituted with a high-protein-value alternative such as insect meal. In this study, 900 Aviagen Savanna broilers were reared using three different organic diets. The diets used the following as protein feed material: soybean only (S100), 50% black soldier fly larvae meal (BSL) and 50% soybean (BSL50), and 100% BSL only (BSL100). Broiler performance, welfare, and fatty acids (FA) in the thigh and breast were analyzed. BSL50 and BSL100 negatively affected growth performance, while BSL100 worsened all of the market-related measures of performance. Meat quality was worse in BSL50 and BSL100, with a significant increase in saturated FA (SFA) and a corresponding decrease in polyunsaturated FA (PUFA). Among SFA, lauric acid (C12:0) more notably increased. The increase in SFA represents a negative aspect of BSL meal inclusion, namely the production of lauric acid; however, this trend could have a beneficial effect, which will be more deeply explored with regard to its impact on animal and human health.