Hockey.
Israel
Pepper
Some six letter words with the fourth letter U are:abductaboundabruptabsurdaccuseacquitactualadjustalludeallureambushamountampuleannualaroundarousearoundarouseassumeassureastuteauburnaugustautumnbeautybelugabemuseblousecasualclausecloudycolumncrouchdebunkdeducedeductdefusedeludedelugedeluxedemuredeputydiluteeffuseendureengulfenoughensureeunuchexcuseexhumefecundfibulafigureflauntfuturegerundgrouchgroundgrouseimmuneimmureimpugnimpureimputeinduceinductinfuseinjureinsultinsurejaguarjejunejujubekabukikahunalegumeliquidliquorlocustluxurymanualmanurematureminuetminutemisusemodulemutualnaturenebulanoduleobtuseoccultoccupyonrushpenuryperuserebuffrebukereducerefugerefundrefuserefutereputeresultresumereturnritualrobustrotundsalutesecureseducesequelsequinsexualshouldshrunksleuthslouchspousesprucesprungstruckstrungsuburbsuturetenurethoughthrushthrusttraumatroughtroupetubuletumultuncurlundulyunfurlunjustunrulyunsungunsureupturnvacuumvicunavisualvolumeyogurt
The sport that fits this criteria is "hockey." It has six letters, and the fourth letter is the letter "k." Hockey is a popular team sport played on ice or on a field, involving two teams who try to score goals by hitting a puck or a ball into the opponent's goal using a stick.
rowing
Israel
kumala or kumata
Pepper
Some six letter words with the fourth letter U are:abductaboundabruptabsurdaccuseacquitactualadjustalludeallureambushamountampuleannualaroundarousearoundarouseassumeassureastuteauburnaugustautumnbeautybelugabemuseblousecasualclausecloudycolumncrouchdebunkdeducedeductdefusedeludedelugedeluxedemuredeputydiluteeffuseendureengulfenoughensureeunuchexcuseexhumefecundfibulafigureflauntfuturegerundgrouchgroundgrouseimmuneimmureimpugnimpureimputeinduceinductinfuseinjureinsultinsurejaguarjejunejujubekabukikahunalegumeliquidliquorlocustluxurymanualmanurematureminuetminutemisusemodulemutualnaturenebulanoduleobtuseoccultoccupyonrushpenuryperuserebuffrebukereducerefugerefundrefuserefutereputeresultresumereturnritualrobustrotundsalutesecureseducesequelsequinsexualshouldshrunksleuthslouchspousesprucesprungstruckstrungsuburbsuturetenurethoughthrushthrusttraumatroughtroupetubuletumultuncurlundulyunfurlunjustunrulyunsungunsureupturnvacuumvicunavisualvolumeyogurt
Delphi
pigeon
Exuded or exudes.
The sport that fits this criteria is "hockey." It has six letters, and the fourth letter is the letter "k." Hockey is a popular team sport played on ice or on a field, involving two teams who try to score goals by hitting a puck or a ball into the opponent's goal using a stick.
Diving
boxing
rowing
For a six-letter word to be a palindrome, the 3rd and 4th letters would have to be the same.