Using a self-designed anime-style character as a self-portrait on your personal website is not inherently weird; it ultimately depends on the context and intent of your website. Here are several factors to consider:
Audience and Purpose: If your website is intended for a community or audience that appreciates artistic expressions or anime culture, using an anime-style character can be a fitting and creative way to represent yourself. It might resonate well with visitors who share similar interests.
Professionalism: Consider the nature of your website. If it’s a professional portfolio or a site where you’re representing yourself to potential employers or clients in a field that typically values traditional professionalism, such a representation might not align with industry norms. However, in creative industries, or fields like game design, graphic design, or content creation, it might be perfectly acceptable.
Personal Expression: Your personal website is an extension of yourself, and if using an anime-style character feels like an authentic way to express your identity or personality, it’s a valid choice. It can give visitors insight into your creative aspirations and personal tastes.
Brand Consistency: If your personal brand or website design leans heavily towards anime or cartoon aesthetics, an anime-style self-portrait can complement the overall theme. Consistency in style is important in providing a cohesive visitor experience.
Clarity and Recognition: Ensure that the character accurately conveys aspects of your personality or identity that you’d like visitors to associate with you. If recognition and future networking are important, consider whether this representation aids or inhibits that goal.

Ultimately, the decision is yours, and what matters most is that the character aligns with your personal goals for the website and resonates with you on a personal level.