**Design Breakdown:**

1. **Shape:**
   - Retain the general bull horn shape but soften the edges, making them slightly rounded.

2. **Color Scheme:**
   - Change the primary color from red to a vibrant teal, and alter the outline color to a darker navy blue.

3. **Texture:**
   - Use a matte finish rather than an embroidered texture for a flat appearance.

4. **Additional Element:**
   - Incorporate a subtle geometric pattern within the horn shape for added visual interest.

5. **Background:**
   - Replace the current background color with a light gray to enhance contrast with the new color scheme.

6. **Overall Style:**
   - Shift towards a more modern, minimalist style by simplifying the design and removing any intricate details.

This revised design would maintain a connection to the original concept while offering a fresh and unique interpretation.