Okay, so if I sent transactions from an Electrum wallet (NO-KYC ON SENDER WALLET), to different addresses every transaction, as you should for anonymity, would the transactions be able to be linked together so they could be identified as all coming from the same electrum wallet to the receiving wallet?
Depends. For example, if you're using Electrum on public nodes rather than running your own, the node owners might know very easily that one particular IP (whether run through Tor or not, it doesn't matter) owns all these addresses since when you're running a lightweight wallet, the public servers have to look after your addresses balance upon request.
The first request is straight when you open up the wallet for the first time, so unless you've run it through your own node/server, the public node will know that you own the set of addresses it had to look up through the blockchain.
Also, make sure you do not link your addresses together in transactions.