You should receive your coins shortly after your order is completed. Once your order is completed, you will receive an email confirming completion of your order with a transaction report, your coins should then arrive in your wallet shortly afterwards. If this is not the case, please check the relevant block explorer as confirmation times can occasionally vary due to the coin, wallet provider, network conditions and a variety of other factors. If you need any assistance, please do not hesitate to get in touch.
It is common for Cryptoasset transactions to sometimes delay as they must confirm on the network prior to arriving in your wallet. You can always check the relevant blockchain to see the status of your transaction and to see if it has confirmed or not. Once the transaction is confirmed on the network (or confirmed on the blockchain), the coins should then appear in your wallet. Cryptocurrencies have different protocols to achieve consensus across the network and some are faster than others. Some Cryptocurrencies are PoS (Proof of Stake) based, some PoW (Proof of Work) based and there are many more ways to reach consensus. With some coins, a certain number of confirmations is required whereas with others, the consensus protocol may be designed entirely different. We have helpful Coin Guides which have some general information on how each of the coins/networks work. You may also familiarise yourself with the relevant blockexplorers to see how the network works.
CoinMarketCap is a good resource for all things Crypto where you can find all the relevant Block Explorers for different Cryptocurrencies.