Note #1: Early non Religious Imigrants (see https://www.englandsimmigrants.com/ ) :

• John van Newell [30744] Place of Residence: Dowgate ward, London, Place of Origin: [‘Germany’] Origin: Nationality: Teutonic Taxation Status: non-householder, Original Document: E 179/242/25, m. 9 (tax assessment, 16 x 25 June 1483) https://www.englandsimmigrants.com/ Original Document: E 179/144/54, m. 14 (tax assessment, 12 October 1444)
• John Nowell [34722] Place of Residence: Kenton, Exminster hundred, Devon, Place of Origin: Picardy [modern: France], Original Document: L&P Hen. VIII, iv (3), no. 6600 (19) (letters of denization, 19 August 1530)
• Newell Turges [25496] , Place of Origin: Flanders [modern: Belgium, France, Netherlands], Original Document: L&P Hen. VIII, i (1), no. 1524 (29) (letters of denization, 15 December 1512)

Note #2: Nicholas Newell, Frenchman of St Mary Woolchurch [London], extremist who jested against the saints and Our Lady; presented in 1541 as being far gone in the new sect [Fines], Nicholas Newell was one of those charged in London in the inquisition following the setting up of the commission to enforce the Six Articles.  https://www.johnfoxe.org/index.php?realm=more&gototype=&type=person&letter=N

Note #3: The first wave of many thousands of French-speaking Protestants were Walloon refugees who arrived in England from the Spanish Netherlands (now Belgium and the Netherlands) in 1567, having been forced to flee the suppression of Protestantism by King Philip of Spain’s forces lead by the Duke of Alva. This group had been in England for over a century before the true Huguenots came and the two groups settled in London and the same south-eastern towns. https://www.familysearch.org/wiki/en/England_History_of_Huguenots,_Walloons,_Flemish_Religions_(National_Institute)

Note #4 The Huguenots, French Protestants facing a new wave of persecution, began arriving in England in numbers around 1670. King Charles II offered them sanctuary, and in all some 40–50,000 arrived, which was a sizeable number in that era. Many settled in the  Spitalfields area of London, and, being former silk-weavers, brought new energy to this industry in the area and raised silk to an important fashion item in Britain. https://en.wikipedia.org/wiki/Historical_immigration_to_Great_Britain#Huguenots

Note #5: Far more Huguenots arrived after 1685 when Louis XIV revoked the Edict of Nantes which had given toleration to French Protestants in 1598. About 60,000 came at this time, with two-thirds of these settling in London. https://www.familysearch.org/wiki/en/England_History_of_Huguenots,_Walloons,_Flemish_Religions_(National_Institute)