Short answer
Religion, character, compatibility, trustworthiness and ability to fulfill marital responsibilities should be given serious consideration.
Islamic Guidance
What Islam teaches
Islam gives importance to faith and character when choosing a spouse. Wealth, beauty, family background and social position can be considered, but they should not become the only criteria.
Practical Guidance
What you can consider
Evaluate the person's actual conduct, not just their profile. Speak to trustworthy people who know the person and discuss important expectations directly.
Sources
Qur'an 49:13; Sahih al-Bukhari; Sahih Muslim.