There is nothing wrong with a person who has done tayammum leading in prayer people who have done wudoo’

It is permissible for a person who has done tayammum to
lead in prayer people who have done wudoo’ if he did tayammum for a
legitimate shar’i reason to purify himself from minor or major impurity.
It is permissible for him to lead in prayer those who have purified
themselves with water, and there is nothing wrong with that. Even if there
is someone else who is qualified to lead the prayer, but he (the one who
did tayammum) leads them in prayer, there is nothing wrong with that if he
is himself qualified to lead the prayer. End quote. 

Shaykh ‘Abd al-‘Azeez ibn Baaz (may Allah have mercy on him).