Not sure you can refer to a column in a table you have defined like 'tx[Date]'
If you define the table, in my mind it becomes more of a range to the LET formula, as such you can refer to the columns with Index:
=LET(tx, tblTransactions,
method, "Transfer",
tx_date, TODAY(),
res, FILTER(INDEX(tx,,1), (INDEX(tx,,2)=method)*(INDEX(tx,,1)>=tx_date)),
res)
Other than that you would use the table name itself:
=LET(method, "Transfer",
tx_date, TODAY(),
res, FILTER(tblTransactions[Date], (tblTransactions[Method]=method)*(tblTransactions[Date]>=tx_date)),
res)
If you renamed the table 'tx' then 'tx[Date]' would be fine.