England, unlike France and Spain, had little tradition of queen regents.
After John died (he was the youngest brother and his elders were dead), Henry III was 9. William Marshal was named regent. Isabella of Angouleme left her son and the realm nine months later.
Isabella the She-Wolf of France overthrew her husband Edward II in the name of her 13...14 year old son Edward III, assisted by her lover Mortimer. Isabella seems to have been the only queen regent England ever had.
Richard II was 10 at accession. His mother, Joan the Fair Maid of Kent was not regent. The King had a bunch of uncles but instead of a formal Regent, "continuous councils" were set up. which excluded John of Gaunt, but also Joan.
Henry VI was 8 month old at accession, and a Regency Council was set up, headed by Henry´s uncle Humphrey of Gloucester. Queen Mother Catherine of Valois was not in regency.
Edward V acceded age 12. In April 1483, before Richard of Gloucester carried out his coup to apprehend the Woodvilles and claim regency, it was not Queen Mother Elizabeth acting in her ownname as regent, but her brother and son were claiming regency.
So. Henry VII has a healthy grandson and a younger son living in 1502. What next?
In 1509, the grandson would accede, age 7. What would the regency arrangements be?