Do people's viewing my appearance as unacceptable and my not having married indicate Allah's wrath or His displeasure with me, even though I perform my acts of worship and follow the Sunnah of the Messenger, may Allah bless him and grant him peace?

Some people's taunting you as ugly does not indicate God's wrath; rather, it may be a trial that requires patience. Be diligent in supplicating to God to facilitate a righteous husband for you, knowing the permissibility for a woman and her guardian to search for a righteous man with proper etiquette. The fact that some say you are ugly does not mean you are, as others may see you as beautiful, and it might be due to envy. You should advise those who mock you and remind them that mockery and calling one another by offensive nicknames are impermissible, as Allah Almighty says: "O you who have believed, let not a people ridicule [another] people; perhaps they may be better than them; nor let women ridicule [other] women; perhaps they may be better than them. And do not insult one another and do not call each other by [offensive] nicknames. Wretched is the name of disobedience after [one's] belief. And whoever does not repent — then it is those who are the wrongdoers," and as the Prophet, peace and blessings be upon him, said: "Do not harm the Muslims, nor taunt them, nor seek out their faults."