Sorry, yes STN is Elizabeth Line to Liverpool Street, then Stansted Express. Leaving at 1230 I think 2pm is a mite optimistic.
Officially it is 1225 arrives 1411 and 1236 a 1431.
For the 1225 to arrive at 1357 you need a 8 minute connection at Liverpool Street between lines. If dead on time I could probably do that, because I would be on auto-pilot and moving at pace. I'm not at all sure that you could.
Nat Ex have buses to STN at 1105, arrive 1225; 1235 arrive 1405 and 1305 arrive 1425. (also 0915 arrive 1035). Just board and relax- far less stress IMO. The 1235 is 1 stop, the 1305 is no stops.
Before committing track your TA flight's performance for, say, a week. Then you can make a more informed judgement.
Assuming a good on time performance of the TA, if that was my best option it's good enough IMO.
You know, we all know, that it's a gamble but the odds, I contend, are in your favour. If TTM has found an even later Wizz flight that would be even better.
Play it by ear. Bus and train can both be booked on the spot. Take the most expeditious mode on the day. Being a Saturday weekend engineering work may disrupt either train line.